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[326] P. Felmer, A. Quaas. Fundamental solutions for a class of Isaacs integral operators. to appear in Discrete Continuous Dynamical Systems FullText

[325] P. Felmer, A. Quaas, J. Tan. Positive solutions of nonlinear Schrödinger equation with the fractional Laplacian. preprint FullText

[324] Ignacio Guerra. Note on a Paper of Y. S. Choi and X. Xu Concerning Nonlinear Biharmonic Equations with Negative Exponents. FullText

[323] Antonio Capella, Juan Dávila, Louis Dupaigne, Yannick Sire. Regularity of radial extremal solutions for some non local semilinear equations. Preprint 2010 FullText

[322] Juan Dávila, Marcelo Montenegro. Concentration for an elliptic equation with singular nonlinearity. Preprint 2010 FullText

[321] Manuel del Pino, Michal Kowalczyk, Juncheng Wei, Jun Yang . Interface foliations of a positively curved manifold near a closed. To appear in Geometric and Functional Analysis (GAFA) Abstract

[320] M. del Pino, M. Musso, F. Pacard. A. Pistoia. Torus action on $S^n$ and sign changing solutions for conformally invariant equations. Preprint 2010 FullText

[319] W. Ao, M. Musso, J. Wei. On Spikes Concentrating on Line-Segments to a Semilinear Neumann Problem. Preprint 2010 FullText

[318] W. Ao, M. Musso, J. Wei. Triple Junction Solutions for a Singularly Perturbed Neumann Problem . Preprint 2010 FullText

[317] M. del Pino, M. Musso, B. Ruf. Beyond the Trudinger-Moser Supremum. Preprint 2010 FullText

[316] J. Dávila, I. Peral. Nonlinear elliptic problems with a singular weight on the boundary. Preprint 2010 FullText

[315] P. Felmer, A. Quaas. Fundamental solutions and Liouville type theorems for nonlinear integral operators. preprint FullText

[314] P. Felmer, A. Quaas, B. Sirakov.. Existence and regularity results for fully nonlinear equations with singularities. to appear in Math. Annalen FullText

[313] Manuel del Pino, Monica Musso, Bernhard Ruf. New solutions for Trudinger-Moser critical equations in $R^2$. J. Funct. Anal. 258 No 2 (2010) 421--457. FullText

[312] M. del Pino, M. Kowalczyk, F. Pacard and J. Wei. Multiple-end solutions to the Allen-Cahn equation in $R^2$. J. Funct. Anal. 258 No 2 (2010) 458--503. FullText

[311] Manuel del Pino, Michal Kowalczyk, Frank Pacard, Juncheng Wei. The Toda system and multiple-end solutions of autonomous planar elliptic problems. To appear in Advances in Mathematics. FullText

[310] R. Meneses; A. Quaas. Fujita type exponent for fully nonlinear parabolic equations and existence results . preprint FullText

[309] P. Felmer, A. Quaas, B. Sirakov. Landesman-Lazer type results for second order Hamilton-Jacobi-Bellman equations. J. of Functional Analysis; Vol. 258, pp. 4154-4182; 2010 FullText

[308] S. Alarcón, J. Garcia-Melian, A. Quaas. Keller-Osserman type conditions for some elliptic problems with gradient terms. preprint FullText

[307] J. Davila, M. del Pino, M. Musso. Bistable boundary reactions in two dimensions. Preprint 2009 FullText

[306] Y. Ge, M. Musso, A. Pistoia. Sign changing solutions for a critical elliptic problem. Preprint 2009 FullText

[305] Maria Esteban, Patricio Felmer, Alexander Quaas. Eigenvalues for Radially Symmetric Fully Nonlinear Operators. revised January 2010, to appear in Communications in Partial Differential Equations, FullText

[304] Juan Davila, Isabel Flores, Ignacio Guerra. Multiplicity of solutions for a fourth order equation with power-type nonlinearity. Preprint 2009 FullText

[303] Juan Davila, Isabel Flores, Ignacio Guerra. Multiplicity of solutions for a fourth order problem with exponential nonlinearity. J. Differential Equations 247 (2009), no. 11, 3136--3162 FullText

[302] Y. Ge, M. Musso, A. Pistoia. Sign changing tower of bubbles for an elliptic problem at the critical exponent in pierced non-symmetric domains. To appear in Comm. in P.D.E FullText

[301] Jerome Coville, Juan Davila. Existence of radial stationary solutions for a system in combustion theory. Preprint 2009 FullText

[300] Manuel del Pino, Michal Kowalczyk, Juncheng Wei. Entire Solutions of the Allen-Cahn equation and Complete Embedded Minimal Surfaces of Finite Total Curvature in R3. FullText

[299] G. Davila, P. Felmer, A. Quaas. Alexandroff-Bakelman-Pucci estimate for singular or degenerate fully nonlinear elliptic equations. Comptes Rendus Mathematique, Volume 347, Issues 19-20, October 2009, Pages 1165-1168 FullText

[298] Patricio Felmer, Alexander Quaas, Moxun Tang, Jianshe Yu. Random dynamics of gene transcription activation in single cells. Journal of Differential Equations, Volume 247, Issue 6, 15 September 2009, Pages 1796-1816 FullText

[297] G. Davila, P. Felmer, A. Quaas. Harnack inequality for singular fully nonlinear operators and some existence results . revised January 2010. To appear in Calculus o Variations and PDE. FullText

[296] M. Musso, F. Pacard, J. Wei. Finite-energy sign-changing solutions with dihedral symmetry for the stationary non linear Schr. Preprint 2009 FullText

[295] J. Dávila, M. Montenegro. Radial solutions of an elliptic equation with singular nonlinearity. J. Math. Anal. Appl. 352 (2009), no. 1, 360--379 FullText

[294] A. Montero. Hodge decomposition with degenerate weights and the Gross-Pitaevskii energy. Journal of Functional Analysis 254 (2008) pp. 1926-1973.

[293] S. Alama, L. Bronsard and A. Montero. Vortices for a rotating toroidal Bose Einstein condensate. Arch. Ration. Mech. Anal. 187 (2008), no. 3, 481–522.

[292] Juan Dávila. Singular solutions of semi-linear elliptic problems. Handbook of Differential Equations Vol. 6 (2008), 83--176.

[291] P. Felmer, A. Quaas. Around Viscosity Solutions for a class of Superlinear Second Order Elliptic Differential Equations. Submitted to: "On the notions of solutions to nonlinear elliptic problems: results and developments", Quaderni di Matematica, publication of the Department of Mathematics of the Seconda Universita di Napoli, Editors: A. Alvino, A. Mercaldo, F. Murat, I. Peral. FullText

[290] J. Dolbeault, P.Felmer, M. Lewin. Orbitally stable states in generalized Hartree-Fock theory. To appear in Mathematical Models and Methods in Applied Sciences FullText

[289] Mariel Saez. Uniqueness of self-similar solutions to the network flow in a given topological class. submitted

[288] Oliver Schnürer, Abderrahim Azouani, Marc Georgi, Juliette Hell, Nihar Jangle, Amos Koeller, Tobias Marxen, Sandra Ritthaler, Mariel Sáez, Felix Schulze, and Brian Smith, . Evolution of convex lens-shaped networks under curve shortening flow. To appear in Trans. Amer. Math. Soc.

[287] M.Musso, A.Pistoia. Tower of Bubbles for almost critical problems in general domains. To appear in J. Math Pure et Appl. FullText

[286] P. Felmer, A. Quaas, B. Sirakov. Resonance phenomena for second-order stochastic control equations. SIAM J. on Mathematical Analysis; Vol. 42 Nº 3, pp. 997-1024; 2010 FullText

[285] A. Allendes, A Quaas. Multiplicity results for extremal operators through bifurcation. to appear in Discrete Continuous Dynamical Systems FullText

[284] P. Felmer, A. Quaas, J. Tan. Geometry of phase plane and radial solutions for nonlinear elliptic equations with extremal operators. Journal Mathematical Analisys Aplication Volume 366, Issue 1, 1 June 2010, Pages 101-111 FullText

[283] Salomón Alarcón, Alexander Quaas. Large number of fast decay ground states to Matukuma-type equations. Journal of Differential Equations; Vol. 248, pp. 866-892; 2010 FullText

[282] Salomón Alarcón. Multiple solutions for a critical nonhomogeneous elliptic problem in domains with small holes. Preprint 2008 FullText

[281] Y. Lou, S. Martinez. Evolution of cross-diffusion and self-diffusion. Preprint FullText

[280] Manuel del Pino, Michal Kowalczyk, Juncheng Wei . A counterexample to a conjecture by De Giorgi in large dimensions. C. R. Acad. Sci. Paris, Ser. I 346 (2008) 1261–1266 FullText

[279] Manuel del Pino, Michal Kowalczyk, Juncheng Wei. On De Giorgi conjecture in dimension N>=9. Preprint 2008, arXiv:0806.3141v1 FullText

[278] J. Dávila, L. Dupaigne, O. Goubet, S. Martínez. Boundary blow-up solutions of cooperative systems. Ann. Inst. H. Poincaré Anal. Non Linéaire 26 (2009), no. 5, 1767--1791 FullText

[277] A. Blanchet, J. Dolbeault, M. Kowalczyk. Travelling fronts in the stochastic Stokes´ drift. FullText

[276] Manuel del Pino. Supercritical elliptic problems from a perturbation viewpoint. . Discrete and Continuous Dynamical Systems 21, No 1, p. 69-89 FullText

[275] A. Blanchet, J. Dolbeault, M. Kowalczyk. Stochastic Stokes´ drift, homogenized functional inequalities, and large time behavior of Brownian ratchets. FullText

[274] D. Kinderlehrer, M. Kowalczyk. The Janossy effect and hybrid variational principles. FullText

[273] M. del Pino, P. Esposito, M. Musso. Two-dimensional Euler flows with concentrated vorticities. To appear in Transaction of Amer. Math. Soc. FullText

[272] M. del Pino, M. Musso, F. Pacard. Bubbling along geodesics for some semilinear supercritical elliptic problem in bounded domains. To appear in J. Math Pure et Appl. FullText

[271] P. Felmer, M. Montenegro, A. Quaas. A note on the Strong Maximum Principle and the Compact Support Principle. Journal of Diff. Equation, Volume 246, Issue 1, 1 January 2009, Pages 39-49. FullText

[270] M. Musso, A. Pistoia. Sign-changing solutions to a Bahri-Coron´s problem in pierced domains. DiscreteCont. Dyn. Systems (2008), no. 1, 295--306

[269] Manuel del Pino, Michal Kowalczyk. Renormalized energy of interacting Ginzburg-Landu vortex filaments. J. Lond. Math. Soc. (2) 77 (2008), no. 3, 647--665. FullText

[268] Manuel del Pino, Michal Kowalczyk, Juncheng Wei. The Toda system and clustering interfaces in the Allen-Cahn equation. Archive for Rational Mechanics and Analysis 190, 141-187 (2008) FullText

[267] Juan Dávila, Louis Dupaigne, Marcelo Montenegro. The extremal solution of a boundary reaction problem. Commun. Pure Appl. Anal. 7 (2008), no. 4, 795--817 FullText

[266] Jerome Coville, Juan Dávila, Salomé Martínez. Non-local anisotropic dispersal with monostable nonlinearity.. J. Differential Equations 244 (2008), no. 12, 3080--3118 FullText

[265] Juan Dávila, Michal Kowalczyk, Marcelo Montenegro. Critical points of the regular part of the harmonic Green´s function with Robin boundary condition. J. Funct. Anal. 255 (2008), no. 5, 1057--1101 FullText

[264] Juan Dávila, Augusto C. Ponce. Hausdorff dimension of rupture sets and removable singularities. C. R. Math. Acad. Sci. Paris 346 (2008), no. 1-2, 27--32. FullText

[263] Juan Dávila, Manuel del Pino, Monica Musso, Juncheng Wei. Fast and slow decay solutions for supercritical elliptic problems in exterior domains.. Calc. Var. Partial Differential Equations 32 (2008), no. 4, 453--480 FullText

[262] Jerome Coville, Juan Dávila, Salomé Martínez. Existence and uniqueness of solutions to a non-local equation with monostable nonlinearity. SIAM J. Math. Anal. 39 (2008), no. 5, 1693--1709. FullText

[261] R. S. Cantrell, C. Cosner, S. Martinez. Global bifurcation of solutions to diffusive logistic equations on bounded domains subject to nonlinear boundary conditions. To appear in Proc. Roy. Soc. Edinburgh Sect. A FullText

[260] A. Quaas, B. Sirakov. Solvability of monotone systems of fully nonlinear elliptic PDE´s. Comptes Rendus Mathematique Volume 346, Issues 11-12, June 2008, Pages 641-644. FullText

[259] A. Quaas, B. Sirakov. Existence and non-existence results for fully nonlinear elliptic systems. Indiana Univ. Math Journal Vol. 58, No. 2 (2009) FullText

[258] M. Esteban, P. Felmer, A. Quaas. Super-linear elliptic equation for fully nonlinear operators without growth restrictions for the data. Proc. Roy. Soc. Edinburgh, Vol. 53, pp.125-141; 2010 Abstract FullText

[257] M. Clapp, M. Musso, A. Pistoia. Multipeak solutions to the pure critical exponent problem in punctured domains. Journal of Functional Analysis 256 (2009), no.2 275--306 FullText

[256] C. Sourdis. Traveling kinks in a chain of couples oscillators: the anti-integrable limit. FullText

[255] C. Sourdis. A spectral bound for a class of Schrödinger operators. Bulletin of the Hellenic Mathematical Society. To appear FullText

[254] P.C. Fife , C. Sourdis. Existence of heteroclinic orbits for a corner layer problem in anisotropic interfaces. Adv. Differential Equations 12 (2007), no. 6, 623--668 FullText

[253] N. D. Alikakos, P. C. Fife, G. Fusco, C. Sourdis. Singular Perturbation Problems Arising from the Anisotropy of Crystalline Grain Boundaries. Journal of Dynamics and Differential Equations (2007) FullText

[252] P. Felmer, A. Quaas, M. Tang. On the complex structure of positive solutions to Matukuma-type equations . Ann. Inst. Henri Poincare, Analyse non lineaire Volume 26, Issue 3, May-June 2009, Pages 869-887 FullText

[251] Mariel Saez Trumper. Relaxation of the flow of triods by Curve Shortening Flow via the vector-valued parabolic Allen-Cahn equation. To appear in J. Reine Angew. Math.
(Crelle’s). FullText

[250] J. Dolbeault, P. Felmer, J. Mayorga. Compactness properties for trace-class operators and applications to quantum mechanics. To appear in Monatshefte für Mathematik. FullText

[249] P. Felmer, J. Mayorga. Multiplicity and Concentration for the Nonlinear Schrödinger Equation with Critical Frequency. Nonlinear Analysis, Volume 66, No 1, January 2007, Pages 151-169.

[248] Hernán Castro. Solutions with spikes at the boundary for a 2D nonlinear Neumann problem with large exponent. Preprint 2007 FullText

[247] Patricio Felmer, Salomé Martínez and Kazunaga Tanaka. Highly oscillatory behavior of the activator in the Gierer and Meinhardt system. To appear in Math. Annalen FullText

[246] Patricio Felmer, Salomé Martínez and Kazunaga Tanaka. Uniqueness of Radially Symmetric Positive Solutions for $-Delta u+u=u^p$ in an Annulus. FullText

[245] Salomón Alarcón. Double-spike solutions for a critical inhomogeneous elliptic problem in domains with small holes. To appear in Proceedings of The Royal Society of Edinburgh. Abstract FullText

[244] Juan Campos . Bubble-tower phenomena in a semilinear equation with mixed Sobolev growth. . Nonlinear Anal. 68 (2008), no. 5, 1382--1397. FullText

[243] Maria Esteban, Patricio Felmer, Alexander Quaas. Large critical exponents for some second order uniformly elliptic operators. Communications in Partial Differential Equations, Volume 32, Issue 4 April 2007 , pages 543 - 556 FullText

[242] Patricio Felmer, Alexander Quaas, Moxun Tang, Jianshe Yu. Monotonicity properties for ground states of the scalar field equation. Ann. Inst. Henri Poincare, Analyse non lineaire. Volume 25, Issue 1, January-February 2008, Pages 105-119. FullText

[241] Mariel Saez. Existence of a solution to a vector-valued Ginzburg-Landau equation with a three well potential. Indiana Univ. Math. J., Volume 58, Number 1, 213-267, November 1, 2009.
FullText

[240] R. Mazzeo, M.Saez. Self-similar expanding solutions for the planar network flow. Seminaires et Congresses, Societe Mathematique de France, 2007.
FullText

[239] Mariel Saez Trumper. Relaxation of the Curve Shortening Flow via the parabolic Ginzburg -Landau equation. To appear in Calc. Var. Partial Differential Equations FullText

[238] J. Rossi, M. Saez. Optimal regularity for the pseudo infinity Laplacian. ESAIM - Control, Optimisation and Calculus of Variations, 13 (2007), no. 2 FullText

[237] Jean-Philipe Bartier, Jean Dolbeault, Reinhard Illner and Michal Kowalczyk. A qualitative study of linear drift-diffusion equations with time-dependent or degenerate coefficients. Mathematical Models and Methods in Applied Science Vol. 17, No. 3 327-362 (2007)

[236] P. Felmer, A. Quaas. Fundamental solutions and two properties of elliptic maximal and minimal operators. Transactions of the American Mathematical Society 361 (2009), 5721-5736. FullText

[235] Alexander Quaas, Boyan Sirakov . Principal eigenvalues and the Dirichlet problem for fully nonlinear operators. Adv. in Mathematics, Volume 218, Issue 1, 1 May 2008, Pages 105-135. FullText

[234] Ignacio Guerra. Asymptotic behaviour of a Semilinear Elliptic System with a Large Exponent. Journal of Dynamics and Differential Equations, Vol 19 No1 2007, 243-263 FullText

[233] Monica Clápp, Monica Musso, Claudio Munoz. Singular limits for the Bi-Laplacian operator with exponential nonlinearity in R^4. Annales Institute Henri Poincare, Nonlinear Analysis, 25 (2008) no. 5 1015--1041 FullText

[232] Monica Musso, Angela Pistoia. Persistence of Coron´s solution in nearly critical problems. ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE Volume: 6 Issue: 2 Pages: 331-357 (2007) FullText

[231] Pierpaolo Esposito, Monica Musso, Angela Pistoia. Nodal solutions for a two-dimensional elliptic problem with large exponent in nonlinearity. Proceedings of the London Mathematical Society 94 (2007), 497--519 FullText

[230] Monica Musso, Jacobo Pejsachowicz, Alessandro Portaluri. A Morse Index Theorem and bifurcation for perturbed geodesics on Semi-Riemannian manifolds. ESAIM: Control, Optimization and Calculus of Variations 13 (2007), no. 3, 598--621

[229] Ignacio Guerra. Solutions of an elliptic system with a nearly critical exponent. To Appear in Annales de l´Institut Henri Poincare (C) Non Linear Analysis

[228] Panagiota Daskalopoulos, Manuel del Pino. Type II blow-up for maximal solutions to the Ricci flow in $R2$. Annales de l´Institut Henri Poincare (C) Non Linear Analysis Volume 24, Issue 6, (2007), 851-874 FullText

[227] Patricio Felmer, Salomé Martínez. Thick clusters for the radially symmetric nonlinear Schrödinger equation. To appear in Calc. Var. PDE FullText

[226] Carmen Cortázar, Manuel Elgueta, Jerome Coville and Salomé Martínez. A non local inhomogenous dispersal process. To appear in Journal of Differential Equations FullText

[225] Manuel del Pino, Juncheng Wei. Supercritical elliptic problems in domains with small holes. Annales de l´Institut Henri Poincare (C) Non Linear Analysis, Volume 24, Issue 4, 2007, 507-520 FullText

[224] Manuel del Pino, Monica Musso, Frank Pacard. Boundary singularities for weak solutions of semilinear elliptic problems. Journal of Functional Analysis 253 (2007) 241–272. FullText

[223] Manuel del PIno, Ignacio Guerra. Ground states of a prescribed mean curvature equation. Journal of Differential Equations 241 112-129 (2007). FullText

[222] Manuel del Pino, Michal Kowalczyk, Juncheng Wei. Concentration on curves for nonlinear Schrodinger equation. Communications on Pure and Applied Mathematics 60, no. 1, 113-146 (2007) FullText

[221] Manuel del Pino, Michal Kowalczyk, Juncheng Wei. Resonance and interior layers in an inhomogeneous phase transition problem. SIAM J. Math. Anal. 38 no. 5, 1542--1564 (2007) FullText

[220] Juan Dávila, Manuel del Pino, Monica Musso. The supercritical Lane-Emden-Fowler equation in exterior domains. Communications in Partial Differential Equations, 32: 1225–1243, 2007 FullText

[219] Juan Dávila, Louis Dupaigne. Perturbing singular solutions of the Gelfand problem. Commun. Contemp. Math. 9 (2007), no. 5, 639--680 FullText

[218] Juan Dávila, Manuel del Pino, Monica Musso, Juncheng Wei. Standing waves for supercritical nonlinear Schrödinger equations. Journal of Differential Equations 236 no. 1 (2007), 164-198. FullText

[217] Juan Dávila, Louis Dupaigne, Ignacio Guerra, Marcelo Montenegro. Stable solutions for the bilaplacian with exponential nonlinearity. SIAM J. Math. Anal. 39 (2007), no. 2, 565--592. FullText

[216] S. Alama, L. Bronsard and A. Montero. On the Ginzburg-Landau model of a superconducting ball in a uniform field. Ann. Inst. H. Poincare, Anal. Non Linaire 23 (2006), no. 2, 237–267.

[215] N.D, Alikakos, P.C. Fife, G. Fusco, C. Sourdis. Analysis of the heteroclinic connection in a singularly perturbed system arising from the study of crystalline grain boundaries. Interfaces and Free Boundaries 8 (2006), 159–183 FullText

[214] J. Dolbeault, P. Felmer, M. Loss, E. Paturel. Lieb-Thirring type inequalities and Gagliardo-Nirenberg inequalities for systems. Journal of Functional Analysis, Volume 238, Issue 1, (2006), 193-220.

[213] Manuel del Pino, Monica Musso. Bubbling in Nonlinear Elliptic Problems Near Criticality. Handbook of Differential Equations, Stationary Partial Differential Equations, Vol. 3 (2006), 215--316. FullText

[212] Patricio Felmer, Alexander Quaas, Moxun Tang. On uniqueness for nonlinear elliptic equation involving the Pucci´s extremal operator. Journal of Diff. Equation 226 (2006), no. 1, 80--98 FullText

[211] Alexander Quaas, Boyan Sirakov. Existence results for nonproper elliptic equation involving the Pucci´s Operator. Communications in Partial Differential Equations, Volume 31, Issue 7 June 2006 , pages 987 - 1003 FullText

[210] Alexander Quaas, Boyan Sirakov. On the principal eigenvalues and the Dirichlet problem for fully nonlinear operators. Comptes Rendus Mathematique, Volume 342, Issue 2, 15 January 2006, Pages 115-118

[209] Patricio Felmer, Alexander Quaas. Critical exponents for uniformly elliptic extremal operators. Indiana Univ. Math Journal 55 (2006), no. 2, 593—629 FullText

[208] P. Clément, M. García-Huidobro, I. Guerra, and R. Manásevich. On regions of existence and nonexistence of solutions for a system of p-q-Laplacians. . Asymptot. Anal. 48 (2006), no. 1-2, 1--18.
FullText

[207] Manuel del Pino, Andrés Contreras . Nodal bubble-tower solutions to radial elliptic problems near criticality. Discrete; and Continuous Dynamical Systems 6 no. 3, 525--539 (2006) FullText

[206] Manuel del Pino, Juncheng Wei . Collapsing steady states of the Keller-Segel Syste. Nonlinearity 19 661-684 (2006)

[205] Monica Musso, Angela Pistoia. Sign changing solutions to a nonlinear elliptic problem involving the critical Sobolev exponent in pierced domains. Journ. Math. Pures Appl. (9) 86 (2006), no. 6, 510--528. FullText

[204] Monica Musso, Juncheng Wei. Stationary solutions to a Keller-Segel chemotaxis system. Asymptotic Analysis 49 (2006), no. 3-4, 217--247 FullText

[203] Manuel del Pino, Michal Kowalczyk, Monica Musso. Variational reduction for Ginzburg-Landau vortices. Journal of Functional Analysis 239 (2006), no. 2, 497--541 FullText

[202] Pierpaolo Esposito, Monica Musso, Angela Pistoia. Concentrating solutions for a planar elliptic problem involving nonlinearities with large exponent. Journal of Differential Equations 227 (2006), no. 1, 29--68 FullText

[201] Manuel del Pino, Jean Dolbeault, Monica Musso. Multiple bubbling for the exponential nonlinearity in the slightly supercritical case. Communications on Pure and Applied Analysis 5 (2006), no. 3, 463--482 FullText

[200] Patricio Felmer, Salomé Martínez and Kazunaga Tanaka. High-frequency chaotic solutions for a slowly varying dynamical system.. Ergodic Theory Dynam. Systems 26 no. 2, 379-407 (2006)

[199] Salomé Martínez and Wei-Ming Ni. Periodic solutions for a $3 imes3$ competitive system with cross-diffusion. . Discrete Continuous Dynamical Systems 15 no. 3, 725-746 (2006)

[198] Patricio Felmer, Salomé Martínez and Kazunaga Tanaka. On the number of positive solutions of singularly perturbed 1D nonlinear Schrödinger equations.. Journal of the European Mathematical Society (JEMS) 8 no. 2, 253-268 (2006)

[197] Loïc Forest, Fernando Padilla, Salomé Martínez, Jacques Demongeot and Jaime San Martín. Modelling of auxin transport affected by gravity and differential radial growth.. J. Theoret. Biol. 241 no. 2, 241-251 (2006)

[196] Yuan Lou, Salomé Martínez and Peter Polacik. Loops and branches of coexistence states in a Lotka-Volterra competition model.. Journal of Differential Equations 230 no. 2, 720--742 (2006)

[195] Patricio Felmer, Salomé Martínez and Kazunaga Tanaka. High frequency solutions for singularly perturbed 1D nonlinear Schrödinger equation. Arch. Ration. Mech. Anal. 182 no. 2, 333-366 (2006)

[194] Manuel del Pino . Nonlinear elliptic problems above criticality . Milan Journal of Mathematics 74 313--338 (2006) FullText

[193] Manuel del Pino, Claudio Muñoz. The two-dimensional Lazer-McKenna conjecture for an exponential nonlinearity. Journal of Differential equations 231 no 1 108--134 (2006) FullText

[192] Juan Dávila, Manuel del Pino, Monica Musso, Juncheng Wei. Singular limits of a two-dimensional boundary value problem arising in corrosion modelling. Archive for Rational Mechanics and Analysis 182 (2006) 181--221. FullText

[191] J. Dolbeault, P. Felmer, R. Monneau. Symmetry and non-uniformly elliptic operators. Differential and Integral Equations, Vol 18, No 2, February 2005, p 141-154.

[190] R. Castro, P. Felmer. Semi-classical limit for radial non-linear Schrödinger equation. Communications in Mathematical Physics 256, 2005, 411-435.

[189] Jerome Busca, Maria Esteban, Alexander Quaas. Nonlinear Eigenvalues and Bifurcation problems for Pucci´s Operator. Ann. Inst. Henri Poincare, Analyse non lineaire 22 2 (2005), 187-206

[188] Patricio Felmer, Alexander Quaas. Some Recent Results on Equation Involving the Puccis Extremal Operators. Progress in Nonlinear Differential Equations and Their Applications, Birkhauser; 1 edition (December 7, 2005)

[187] Juan Dávila, Marcelo Montenegro. Hölder estimates for solutions to a singular nonlinear Neumann problem. Elliptic and parabolic problems, 189--205, Progr. Nonlinear Differential Equations Appl., 63, Birkhäuser, Basel, 2005.

[186] Juan Dávila, Marcelo Montenegro. Existence and asymptotic behavior for a singular parabolic equation. Trans. Amer. Math. Soc. 357 (2005), no. 5, 1801--1828.

[185] Juan Dávila, Marcelo Montenegro. Nonlinear problems with solutions exhibiting a free boundary on the boundary. Ann. Inst. H. Poincaré Anal. Non Linéaire 22 (2005), no. 3, 303--330.

[184] Juan Dávila, Julián Fernández-Bonder, Julio D. Rossi, Pablo Groisman, Mariela Sued. Numerical analysis of stochastic differential equations with explosions. Stoch. Anal. Appl. 23 (2005), no. 4, 809--825.

[183] Michal Kowalczyk. On the existence and Morse index of solutions to the Allen-Cahn equation in two dimensions. Annali Matematica Pura et Applicata (4) 184 (2005), no. 1, 17-52

[182] Manuel del Pino, Monica Musso. Bubbling and criticality in two and higher dimensions. Recent advances in elliptic and parabolic problems, 41--59, World Sci. Publ., Hackensack, NJ, 2005

[181] Juan Dávila, Manuel del Pino, Monica Musso. Concentrating solutions in a two-dimensional elliptic problem with exponential Neumann data. Journal of Functional Analysis 227 (2005), no. 2, 430--490 FullText

[180] Manuel del Pino, Michal Kowalczyk, Monica Musso. Singular limits in Liouville-type equations. Calculus of Variations 24 (2005), no. 1, 47--81 FullText

[179] Monica Musso, Jacobo Pejsachowicz, Alessandro Portaluri. A Morse index theorem for perturbed geodesics on semi-Riemannian manifolds. Topological Mathedos in Nonlinear Analysis 25 (2005), no. 1, 69--99

[178] Anna Maria Micheletti, Monica Musso, Angela Pistoia. Super-position of spikes for a slightly super-critical elliptic equation in R^N.. Discrete and Continous Dynamical Systems 12 (2005), no. 4, 747--760 FullText

[177] Manuel del Pino, Monica Musso, Angela Pistoia. Super-critical boundary bubbling in a semilinear Neumann problem. Ann. Inst. H. Poincaré 22 (2005), no. 1, 45--82 FullText

[176] Patricio Felmer, Salomé Martínez and Kazunaga Tanaka. Multi-clustered high-energy solutions for a phase transition problem.. Proc. Roy. Soc. Edinburgh Sect. A 135 no. 4, 731--765 (2005)

[175] Manuel del Pino, Michal Kowalczyk, Juncheng Wei. Nonlinear Schrödinger equations: Concentration on weighted. Comptes Rendus Academie des Sciences de Paris Series I FullText

[174] A. Montero, P. Sternberg and W. Ziemer. Local Minimizers with Vortices to the Ginzburg-Landau System in Three Dimensions. CPAM, Vol. LVII, 0099-0125 (2004).

[173] R. Jerrard, A. Montero and P. Sternberg. Local Minimizers of the Ginzburg-Landau Energy with Magnetic Field in Three Dimensions. Comm. Math. Phys., Vol. 249, Issue 3 (2004), 549-577.

[172] J. Dolbeault, P. Felmer. Monotonicity and Symmetry of positive solutions to nonlinear elliptic equations: Local Moving planes and unique continuation.. Nonlinear Analysis, Volume 58, Issues 3-4, August 2004, Pages 299-317.

[171] Patricio Felmer, Alexander Quaas. Positive Radial Solutions to a ´semilinear´ equation involving the Pucci´s operator. J. Differential Equation 199, 2 (2004), 376-393

[170] Alexander Quaas. Existence of Positive Solutions to a ´semilinear´ equation involving the Pucci´s operator in a convex domain. Differential Integral Equation, 17 , 5-6 (2004), 481-494

[169] Juan Dávila. Global regularity for a singular equation and local $H\sp 1$ minimizers of a nondifferentiable functional. Commun. Contemp. Math. 6 (2004), no. 1, 165--193.

[168] Juan Dávila, Louis Dupaigne. Hardy-type inequalities. J. Eur. Math. Soc. (JEMS) 6 (2004), no. 3, 335--365.

[167] Juan Dávila, Julio D. Rossi. Self-similar solutions of the porous medium equation in a half-space with a nonlinear boundary condition: existence and symmetry. J. Math. Anal. Appl. 296 (2004), no. 2, 634--649.

[166] Jean Dolbeault, David Kinderlehrer and Michal Kowalczyk. Remarks about the flashing rachet. Partial differential equations and inverse problems,
167--175, Contemporary Mathematics, 362, American Mathematical Society, Providence, RI, 2004

[165] Michal Kowalczyk. Approximate invariant manifold of the Allen-Cahn flow in two dimensions. Partial differential equations and inverse problems,
233--239, Contemporary Mathematics, 362, American Mathematical Society, Providence, RI, 2004

[164] C.J. van Duijn, Ignacio Guerra, Mark Peletier. Global Existence Conditions for a Non-local Problem Arising in Statistical Mechanics. Advances in Differential Equations 9 no.1-2 (2004) 133--158. FullText

[163] P. Biler, M. Cannone, I. A. Guerra, G. Karch. Global regular and singular solutions for a model of gravitating particles . Math. Ann. 330 no.4 (2004) 693-708 FullText

[162] Ignacio Guerra, Mark Peletier. Self-Similar blow-up for a diffusion-attraction problem,. Nonlinearity 17 (2004) 2137--2162

[161] Ignacio Guerra. Asymptotic self-similar blow-up for a model of aggregation. Nonlocal elliptic and parabolic problems, 165--188, Banach Center Publ., 66, Polish Acad. Sci., Warsaw, 2004.

[160] Manuel del Pino, Jean Dolbeault, Monica Musso. A phase plane analysis of the "multi-bubbling" phenomenon in some slightly supercritical equations. Monatsh. Math. 142 no. 1-2, 57--79 (2004).

[159] Manuel del Pino, Jean Dolbeault, Monica Musso. Duality in sub-supercritical bubbling in the Brezis-Nirenberg problem near the critical exponent. Contemp. Math., 362, 339--350, (2004)

[158] Manuel del Pino, Patricio Felmer, Michal Kowalczyk. Minimality and nondegeneracy of degree-one Ginzburg-Landau vortex as a Hardy´s type inequality. International. Mathematics Research Notices no. 30, 1511--1527 (2004) FullText

[157] Manuel del Pino, Jean Dolbeault, Ivan Gentil. Nonlinear diffusions, hypercontractivity and the optimal $Lsp p$-Euclidean logarithmic Sobolev inequality. Journal of Mathematical Analysis and Applications 293 no. 2, 375--38 (2004), FullText

[156] Manuel del Pino, Jean Dolbeault, Monica Musso. The Brezis-Nirenberg problem near criticality in dimension 3. J. Math. Pures Appl. (9) 83 (2004), no. 12, 1405--1456 FullText

[155] Mónica Clapp, Manuel del Pino, Monica Musso. Multiple solutions for a non-homogeneous elliptic equation at the critical exponent. Proceedings of the Royal Society of Edinburgh Sec. A, 134 (2004), no. 1, 69--87

[154] Patricio Felmer, Alexander Quaas. On Critical Exponents for Pucci´s Extremal Operators. Ann. Inst. Henri Poincare, Analyse non lineaire, 20, 5, 2003,843-865

[153] Juan Dávila, Louis Dupaigne. Comparison results for PDEs with a singular potential. Proc. Roy. Soc. Edinburgh Sect. A 133 (2003), no. 1, 61--83.

[152] Juan Dávila, Radu Ignat. Lifting of BV functions with values in $S\sp 1$. C. R. Math. Acad. Sci. Paris 337 (2003), no. 3, 159--164.

[151] Juan Dávila, Marcelo Montenegro. Positive versus free boundary solutions to a singular elliptic equation. J. Anal. Math. 90 (2003), 303--335. FullText

[150] Juan Dávila, Marcelo Montenegro. A singular equation with positive and free boundary solutions. RACSAM Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. 97 (2003), no. 1, 107--112.

[149] Juan Dávila, Augusto C. Ponce. Variants of Kato´s inequality and removable singularities. J. Anal. Math. 91 (2003), 143--178.

[148] Michal Chipot, David Kinderlehrer and Michal Kowalczyk. A variational principle for molecular motors. Dedicated to Piero Villaggio on the occasion of his 70th birthday.
Meccanica 38 (2003), no. 5, 505-518

[147] Ignacio Guerra, Tadeuz Nadzieja. Convergence to stationary solutions in a model of self-gravitating systems,. Colloquium Mathematicae. 98 no.1 (2003) 39-47

[146] Manuel del Pino, Monica Musso. Super-critical bubbling in elliptic boundary value problems. Variational problems and related topics (Kyoto, 2002). S\=urikaisekikenky\=usho K\=oky\=uroku No. 1307 (2003), 85--108.

[145] Manuel del Pino, Jean Dolbeault. Asymptotic behavior of nonlinear diffusions. Mathematics Research Letters 10 no. 4, 551-557 (2003) FullText

[144] Manuel del Pino, Jean Dolbeault. The optimal Euclidean $Lsp p$-Sobolev logarithmic inequality. Journal of Functional Analysis 197 no. 1, 151--161 (2003) FullText

[143] Manuel del Pino, Michal Kowalczyk, Juncheng Wei . Multi-bump ground states of the Gierer-Meinhardt system in $R^2$. nnales Institute H. Poincare Analyse Non Lineaire 20 no. 1, 53--85 (2003) FullText

[142] Amandine Aftalion, Manuel del Pino, René Letelier. Multiple boundary blow-up solutions for nonlinear elliptic equations. Proceedings of the Royal Society of Edinburgh Sect. A 133 no. 2, 225--235 (2003)

[141] Monica Musso, Angela Pistoia. Double blow-up solutions for a Brezis-Nirenberg type problem. Communications in Contemporary Mathematics 5 (2003), no. 5, 775--802 FullText

[140] Manuel del Pino, Jean Dolbeault, Monica Musso. "Bubble-tower" radial solutions in the slightly supercritical Brezis-Nirenberg problem.. Journal of Differential Equations 193 (2003), no. 2, 280--306 FullText

[139] Manuel del Pino, Jorge Garcia-Melian, Monica Musso. Local bifurcation from the second eigenvalue of the Laplacian in a square. Proc. Amer. Math. 131 (2003), no. 11, 3499--3505

[138] Manuel del Pino, Patricio Felmer, Monica Musso. Multi-bubble solutions for slightly super-critical elliptic problems in domains with symmetries. Bull. London Math. Society 35 (2003), no. 4, 513--521

[137] Manuel del Pino, Patricio Felmer, Monica Musso. Two-bubble solutions in the super-critical Bahri-Coron´s problem. Calculus of Variations and Partial Differential Equations 16 (2003), no. 2, 113--145 FullText

[136] Salomé Martínez. The effect of diffusion for the multispecies Lotka-Volterra competition model.. Nonlinear Anal. Real World Appl. 4 no. 3, 409-436 (2003)

[135] Patricio Felmer and Salomé Martínez. High-energy solutions for a phase transition problem. . J. Differential Equations 194 no. 1,198-220 (2003)

[134] Vivian Hutson, Salomé Martínez, Kontantin Mischaikow and Glenn Vickers. The evolution of dispersal.. J. Math. Biol. 47 no. 6, 483--517 (2003)

[133] P. Felmer, J. Torres. Semi-classical limit for the one dimensional nonlinear Schrödinger equation. Communications in Contemporary Mathematics, Vol.4, No 3 (2002) 481-512.

[132] P. Felmer, J. Torres. A nonlinear eigenvalue problem in R and multiple solutions of nonlinear Schrödinger equation. Advances in Differential Equations, Vol. 7, No 10 (2002), 1215-1234.

[131] Jerome Busca, Alexander Quaas. Qualitative Properties for Semilinear Elliptic Systems with Non-Lipschitz Nonlinearity. Nonlinear Analysis TMA, 50 3 (2002) pp. 299-312

[130] Patricio Felmer, Alexander Quaas. On The Strong Maximum Principle for Quasilinear Elliptic Equations and Systems. Adv. in Differential Equation, 7 (2002), 25-46

[129] Patricio Felmer, Alexander Quaas. Critical Exponents for Pucci´s Extremal Operators. C.R. Acad. Sci. Paris (I) 335 (2002) 909-914

[128] Juan Dávila. On an open question about functions of bounded variation. Calc. Var. Partial Differential Equations 15 (2002), no. 4, 519--527.

[127] David Kinderlehrer and Michal Kowalczyk. Diffusion-mediated transport and the flashing ratchet. Archive for Rational Mechanics and Analysis 161 (2002), no. 2, 149-179

[126] David Heath, David Kinderlehrer and Michal Kowalczyk. Discrete and continuous ratchets: from coin toss to molecular motor. Discrete and Continuos Dynamical Systems Ser. B 2 (2002), no. 2, 153-167

[125] Manuel del Pino, Patricio Felmer, Monica Musso. Spike patterns in the super-critical Bahri-Coron problem.. Variational and topological methods in the study of nonlinear phenomena (Pisa, 2000), 89--103, Progr. Nonlinear Differential Equations Appl., 49, Birkhäuser Boston, Boston, MA, 2002.

[124] Manuel del Pino, Carmen Cortázar, Manuel Elgueta. Description of regional blow-up in a porous-medium equation. Electron. J. Differ. Equ. Conf., 8, Southwest Texas State Univ., San Marcos, TX, 2002. FullText

[123] Manuel del Pino, Jean Dolbeault . Best constants for Gagliardo-Nirenberg inequalities and application to nonlinear diffusions. Journal de Mathematiques Pures et Appliquees (9) 81 no. 9, 847--875 (2002) FullText

[122] Manuel del Pino, Patricio Felmer, Michal Kowalczyk. Boundary spikes in the Gierer-Meinhardt system. Communications on Pure and Applied Analysis 1 no. 4, 437--456 (2002)

[121] Carmen Cortázar, Manuel del Pino M, Manuel Elgueta. Uniqueness and stability of regional blow-up in a porous-medium equation. Annales Institute Henri Poincare Analyse Non Lineaire 19 no. 6, 927--960 (2002)

[120] Manuel del Pino, Patricio Felmer, Monica Musso. Multi-peak solutions for super-critical elliptic problems in domains with small holes. Journal of Differential Equations 182 (2002), no. 2, 511--540.

[119] Monica Musso, Angela Pistoia. Multispike solutions for a nonlinear elliptic problem involving the critical Sobolev exponent. Indiana University Math. Journal 51 (2002), no. 3, 541--579 FullText

[118] Manuel del Pino, Patricio Felmer, Kazunaga Tanaka. An elementary construction of complex patterns in nonlinear Schrödinger equations. Nonlinearity 15 1653-1671 (2002).

[117] Manuel del Pino, Patricio Felmer . Semi-classical states of nonlinear Schödinger equations: a variational reduction method. Mathematische Annalen 324, no. 1, 1-32. (2002)

[116] Manuel del Pino, César Flores. Asymptotics of Sobolev embeddings and singular perturbations for the $p$-Laplacian. Proceedings of the American Mathematical Society 130 (2002), no. 10, 2931--2939

[115] Manuel del Pino, Jean Dolbeault . Nonlinear diffusions and optimal constants in Sobolev type inequatilties: asymptotic behaviour of equations involving the $p$-Laplacian. Comptes Rendus Academie Sciences Paris 334 365-370 (2002)

[114] Manuel del Pino, René Letelier. The influence of domain geometry inboundary blow-up elliptic problems. Nonlinear Analysis 48 ( no. 6, 897-904 2002)

[113] Panagiota Daskalopoulos, Manuel del Pino. Nonradial solvability structure of super-diffusive nonlinear parabolic equations. Transactions of the American Mathematical Society 354 (2002), no. 4, 1583--1599

[112] Manuel del Pino, Mariel Sáez. Asymptotic description of vanishing in a fast-diffusion equation with absorption.. Differential and Integral Equations 15 (2002), no. 8, 1009--1023

[111] C. Cid, P. Felmer. Orbital stability of standing waves for the nonlinear Schrödinger equation with potential. Reviews in Mathematical Physics, Vol 13, No. 12 (2001) 1529-1546.

[110] J. Busca, P. Felmer. Qualitative properties of some bounded solutions to scalar field equations. Calc. of Variations and PDE´s, 13 (2001) 2, 191-211.

[109] Juan Dávila. Some extremal singular solutions of a nonlinear elliptic equation. Differential Integral Equations 14 (2001), no. 3, 289--304.

[108] Juan Dávila. A strong maximum principle for the Laplace equation with mixed boundary condition. J. Funct. Anal. 183 (2001), no. 1, 231--244.

[107] Juan Dávila. A nonlinear elliptic equation with rapidly oscillating boundary conditions. Asymptot. Anal. 28 (2001), no. 3-4, 279--307. FullText

[106] Xinfu Chen and Michal Kowalczyk. Slow dynamics of interior spikes in the shadow Gierer-Meinhardt system. Advances in Differential Equations 6 (2001), no. 7, 847-872

[105] Xinfu Chen and Michal Kowalczyk. Dynamics of an interior spike in the Gierer-Meinhardt system. SIAM Journal of Mathematical Analysis 33 (2001), no. 1, 172-193 (electronic)

[104] C.J. van Duijn, Ignacio Guerra, Mark Peletier. Asymptotic Results for Injection of Reactive Solutes from a Three-Dimensional Well. Journal of Mathematical Analysis and Applications, Vol. 260, pp. 367-383 (2001). FullText

[103] Monica Musso. New nonlinear equations with soliton-like solutions. Lett. Math. Physics 57 (2001), no. 2, 161--173

[102] Manuel del Pino, Mariel Sáez. On the extinction profile for solutions of $u_t = Delta u^{N+2over N-2}$. Indiana University Mathematics Journal 50 (2001), no. 1, 611--628. FullText

[101] Manuel del Pino, César Flores. Asymptotic behavior of best constants and extremals for trace embeddings in expanding domains.. Communications in Partial Differential Equations 26 (2001), no. 11-12, 2189-2210.

[100] Manuel del Pino, Michal Kowalczyk, Xinfu Chen. The Gierer & Meinhardt system: the breaking of homoclinics and multi-bump ground states,. Communications in Contemporary Mathematics 3 419-439 (2001).

[99] C. Cid, P. Felmer. A note on static solutions of a Lorenz invariant equation in dimension 3. Letters in Mathematical Physics 53 (1): 1-10, July 2000.

[98] A. Abbondandolo, P. Felmer, J. Molina. An estimate on the relative Morse index for strongly indefinite functionals.. Proceedings of the USA-Chile Workshop on Nonlinear Analysis Viña del Mar-Valparaiso, 2000. 1--11, Electron. J. Differ. Equ. Conf., 6,

[97] P. Felmer, K. Tanaka. Scattering solutions for planar singular Hamiltonian systems via minimization.. Advances in Differential Equations, Vol. 5 (10-12), 2000, 1519-1544.

[96] J. Dolbeault, P. Felmer. Symmetry and monotonicity properties for positive solutions of Semi-linear Elliptic PDE´s. Comm. Partial Differential Equations, 25 (5\& 6), 2000, 1153-1169.

[95] P. Felmer, K. Tanaka. Hyperbolic-like solutions for singular Hamiltonian Systems. Nonlinear Differential Equations and Applications Vol 7, No 1, 43-65, 2000.

[94] David Kinderlehrer and Michal Kowalczyk. Remarks about diffusion mediated transport. Contributions in honor of the memory of
Ennio De Giorgi (Italian). Ricerche Matematica 49 (2000), suppl., 305--318

[93] Riccardo Molle, Monica Musso, Donato Passaseo. Positive solutions for a class of nonlinear elliptic problems in $old Rsp N$.. Proceedings of the Royal Society of Edinbuergh, Sec. A 130 (2000), no 1, 141--166

[92] Monica Musso, Donato Passaseo. Some nonlinear elliptic equations in R^N.. Nonlinear Analysis 39 (2000) no. 7, 837--860

[91] Manuel del Pino, Patricio Felmer, Juncheng Wei. On the role of distance function on certain elliptic singular perturbation problems. Communications in Partial Differential Equations 25 p. 155-177 (2000)

[90] Manuel del Pino, Manuel Felmer, Peter Sternberg. Boundary concentration for eigenvalue problems related to the onset of superconductivity. Communications in Mathematical Physics 210, 413-446 (2000)

[89] Rodrigo Bamón, Isabel Flores, Manuel del Pino. Ground States of Elliptic Equations: a geometric approach. Annales Institute Henri Poincaré, Analyse Nonlineaire 17, 551-581, (2000)

[88] Rodrigo Bamón, Isabel Flores, Manuel del Pino. Positive solutions of elliptic equations in R^N$ with a super-subcritical nonlinearity. Comptes Rendus Acad. Sci. Paris 330, p.187-191, (2000).

[87] Manuel del Pino, Patricio Felmer, Juncheng Wei. Multi-peak solutions for some singular perturbation problems. Calculus of Variations and Partial Differential Equations 10, 119-134 (2000)

[86] Yuan Lou, Salomé Martínez and Wei-Ming Ni. On $3 imes 3$ Lotka-Volterra competition systems with cross-diffusion. . Discrete and Continuous Dynamical Systems 6 (2000), no. 1, 175--190.

[85] J. Dolbeault, P. Felmer. Symétry des solutions d´équations semi-linéaires elliptiques. C.R. Acad. Sci. Paris, t. 329, S\´erie I, p. 677-682, 1999.

[84] S. Montecinos, P. Felmer. Multiplicity and Stability of Solutions for a simple Chapman and a more complex Mesospheric Photochemical Model. Journal of Geophys. Res. 104, 11, 799-11, 803, 1999.

[83] Michal Kowalczyk. Multiple spike layers in the shadow Gierer-Meinhardt system: existence of equilibria and the quasi-invariant manifold. Duke Mathematical Journal 98 (1999), no. 1, 59-111

[82] Paul C. Fife and Michal Kowalczyk. A class of pattern-forming models. Journal of Nonlinear Science 9 (1999), no. 6, 641-669

[81] Nicholas Alikakos and Michal Kowalczyk. Critical points of a singular perturbation problem . Journal of Differential Equations 159 (1999), no. 2, 403-426

[80] Monica Musso, Donato Passaseo. Nontrivial solutions of some nonlinear elliptic problems. Communications in Partial Differential Equations 24 (1999), no.9-10, 1655--1708.

[79] Monica Musso, Donato Passaseo. Multiple solutions of Neumann elliptic problems with critical nonlinearity.. Discrete and Continous Dynamical Systems 5 (1999), no. 2, 301--320

[78] Carmen Cortázar, Manuel del Pino, Manuel Elgueta. The problem of uniqueness of the limit in a semilinear heat equation. Communications in Partial Differential Equations 24, 2147-2172 (1999)

[77] Manuel del Pino, Pavel Drabek, Raúl Manásevich . The Fredholm alternative at the first eigenvalue for the one dimensional $p$-Laplacian. Journal of Differential Equations 151, 386-419, (1999)

[76] Panagiota Daskalopoulos, Manuel del Pino . On the Cauchy problem for $u_t =Delta log u$ in higher dimensions. Mathematische Annalen 313, 189-206 (1999)

[75] Manuel del Pino, Patricio Felmer . Spike-Layered Solutions of singularly perturbed elliptic problems in a degenerate setting. Indiana University Mathematics Journal 48, 883-898 (1999)

[74] Manuel del Pino, Patricio Felmer, Juncheng Wei. On the role of the mean curvature in some singularly perturbed Neumann problems. SIAM Journal Mathematical Analysis. 31 no. 1, 63-79, (1999)

[73] P. Felmer, S. Martínez. Existence and Uniqueness of positi solutions for certain differential systems. Advances in Differential Equations Vol.3, No 4, 1998, 575-593.

[72] P. Felmer, X. Q. Wang. Multiplicity for Symmetric indefinite functionals: Applications to Hamiltonian and Elliptic Systems. Topological Methods in Nonlinear Analysis Vol. 12, No 2, 1998, 207-226.

[71] P. Felmer, E. Silva. Homoclinic and periodic orbits for Hamiltonian Systems. Annali de la Scuola Normale Superiore de Pisa. Serie IV, Vol. XXVI. Fasc. 2, 1998, 285-301.

[70] C. Cortázar, M. Elgueta, P. Felmer. Uniqueness of positive solutions of Delta u+f(u)=0 in R^N.. Arch. Rational Mech. Anal. 142 (1998) 2, 127-141.

[69] Monica Musso. Existence and multiplicity of solutions for nonlinear elliptic equations. Bollettino Un. Mat. Ital. Sec A Mat Soc Cult (8) 1998, no. 1, 141--144

[68] Raúl manasevich, Ignacio Guerra, Marta García-Huidobro. Existence of positive radial solutions for a weakly coupled system via blow up . Abstr. Appl. Anal. 3 (1998), no. 1-2, 105--131. FullText

[67] Panagiota Daskalopoulos, Manuel del Pino. Recent progress on super-diffusive nonlinear parabolic problems. Reaction diffusion systems (Trieste, 1995), 107--119, Lecture Notes in Pure and Appl. Math., 194, Dekker, New York, 1998.

[66] Manuel del Pino, Patricio Felmer. Localizing spike-layer patterns in singularly perturbed elliptic problems. Proceedings of the International Conference on Asymptotics in Nonlinear Diffusive Systems (Sendai, 1997), 35--42, Tohoku Math. Publ., 8, Tohoku Univ., Sendai, 1998

[65] Monica Musso, Donato Passaseo. Multibump solutions for a class of nonlinear elliptic problems.. Calculus of Variations and Partial Differential Equations 7 (1998), no. 1, 53--86.

[64] Manuel del Pino, Pavel Drabek, Raúl Manásevich. The Fredholm alternative at the first eigenvalue for the one dimensional $p$-Laplacian. C.R. Acad Sci Paris 327, Serie I, 461-465, (1998)

[63] Carmen Cortázar, Manuel del Pino, Manuel Elgueta . On the blow-up set for $ u_t = Delta u^m + u^m $, $m>1$. Indiana Univ. Math. Journal, 47, p. 541-561 (1998)

[62] Manuel del Pino, Patricio Felmer, Olimpio Miyagaki. Existence of Positive Bound states of nonlinear Schrödinger Equations with saddle-like potential. Nonlinear Analysis, 34, 979-989 (1998)

[61] Manuel del Pino, Patricio Felmer . Multi-peak bound states of nonlinear Schrödinger equations. Annales Institute Henri Poincaré, Analyse Nonlineaire 15, p. 127-149 (1998) FullText

[60] Manuel del Pino, Patricio Felmer. On the basic concentration estimate for the Ginzburg-Landau energy. Differential and Integral Equations 11, No 5, p. 771-779, (1998).

[59] Manuel del Pino, Patricio Felmer. Semi-Classical States for Nonlinear Schrödinger Equations. Journal of Functional Analysis, Vol. 149, no. 01 1997, 245-265. FullText

[58] C. Cortázar, M. Elgueta, P. Felmer. Some Uniqueness Results for Delta u+f(u)=0 in R^N, Nge 3. Proceedings of Reaction Diffusion Systems Conference, Eds. Caristi and
Mitidieri, Lecture Notes in Pure and Applied Mathematics Series, 194, Marcel Dekker, 1997.

[57] P. Clément, P. Felmer, E. Mitidieri. Homoclinic orbits for a of infinite dimensional Hamiltonian systems. Annali de la Scuola Normale Superiore de Pisa. Serie IV. Vol. XXIV. Fasc. 2, 1997, 367-393.

[56] Carlos Conca, Juan Dávila. Optimal bounds for mixtures of infinitely many materials. Numerical methods in mechanics (Concepción, 1995), 59--69, Pitman Res. Notes Math. Ser., 371, Longman, Harlow, 1997.

[55] Monica Musso, Donato Passaseo. Nonlinear elliptic problems approximating degenerate equations. Nonlinear Analysis (30) 1997, no. 8, 5071--5076.

[54] Michal Kowalczyk. Exponentially slow dynamics and interfaces intersecting the boundary. Journal of Differential Equations 138 (1997), no. 1, 55-85

[53] Monica Musso, Donato Passaseo. On the number of positive solutions of some nonlinear elliptic problems. Houston Journal Math. 23 (1997), no. 4, 685--708

[52] Carmen Corázar, Manuel del Pino, Manuel Elgueta. On the short-time behavior of the free boundary of a porous medium equation. Duke Mathematical Journal 87, p. 133-149 (1997)

[51] Panagiota Daskalopoulos, Manuel del Pino . On nonlinear parabolic equations of very fast diffusion. Archive for Rational Mechanics and Analysis 137 p. 363-380 (1997)

[50] Manuel del Pino, Patricio Felmer . Local minimizers of the Ginzburg-Landau Energy. Mathematische Zeitschrift 225, 671-684 (1997)

[49] P. Felmer. Variational Methods in Hamiltonian Systems. in Dynamical
Systems (Temuco 1991/1992), Travaux en Cours, 52, Hermann, Paris, 1996.

[48] C. Cortázar, M. Elgueta, P. Felmer. Symmetry in an elliptic problem and the blow-up set of a quasilinear heat equation. Comm. in PDE, 21 (3\&4), 507-520(1996).

[47] C. Cortázar, M. Elgueta, P. Felmer. On a semi-linear elliptic problem in $R^N$ with a non-lipschitzian non-linearity. Advances in Partial Differential Equations,
Vol. 1, No 2, 1996, 199-218.

[46] Xinfu Chen and Michal Kowalczyk. Existence of equilibria for the Cahn-Hilliard equation via local minimizers of the perimeter. Communication in Partial Differential Equations 21 (1996), no. 7-8, 1207-1233

[45] Nicholas Alikakos, Giorgio Fusco and Michal Kowalczyk. Finite-dimensional dynamics and interfaces intersecting the boundary: equilibria and quasi-invariant manifold. Indiana University Mathematical Journal 45 (1996), no. 4, 1119-1155

[44] Monica Musso, Donato Passaseo. Sign changing solutions of nonlinear elliptic equations. Advances in Differential Equations 1 (1996) , no. 6, 1025--1052

[43] Stanley Alama, Manuel del Pino. Solutions of elliptic equations with indefinite nonlinearities via Morse theory and linking. Ann. Inst. H. Poincaré, Analyse Nonlineaire 13 p. 95-115 (1996)

[42] Manuel del Pino, Patricio Felmer . Local mountain passes for semilinear elliptic problems in unbounded domains.. Calculus of Variations and Partial Differential Equations 4, p. 121-137 (1996). FullText

[41] Manuel del Pino, Patricio Felmer . Least energy solutions to semilinear elliptic equations in unbounded domains.. Proc. Roy. Soc. Edinburgh 126A 195-208, (1996)

[40] Manuel del Pino, Gastón Hernández . Solvability of the Neumann problem in a ball for $-Delta u +u^{- u} = h(|x|), u>1$.. Journal of Differential Equations 124, (1996)

[39] P. Clément, P. Felmer, E. Mitidieri. Solutions homoclines d´un systeme hamiltonien non-borné et superquadratique . C.R. Acad. Sci. Paris, t. 320, Série I, p. 1481-1484, 1995.

[38] Monica Musso, Donato Passaseo. Positive solutions for nonlinear elliptic problems approximating degenerate equations. Topological Methods in Nonlinear Analysis 6 (1995), no. 2, 371--397.

[37] Panagiota Daskalopulos, Manuel del Pino. On a Singular Diffusion Equation. Communications in Analysis and Geometry 3, p. 523-542 (1995)

[36] Manuel del Pino, Patricio Felmer . Locally energy minimizing solutions of the Ginzburg-Landau system.. Comptes Rendus Acad. Sci. Paris 321, p. 1207-1211 (1995)

[35] Patricio Felmer, Manuel del Pino . Mutiple solutions for a semilinear elliptic equation.. Transactions of the American Mathematical Society 347, p. 4839-4853 (1995).

[34] Manuel del Pino, Raúl Manásevich . $T$-Periodic solutions for a second order system with singular nonlinearity.. Differential and Integral Equations 8 p. 1873-1883 (1995).

[33] Manuel del Pino. Nonexistence of signed solutions for a semilinear elliptic problem.. Differential and Integral Equations 8 p. 1259-1263 (1995)

[32] Manuel del Pino. Radially symmetric internal layers in a semilinear elliptic system.. Transactions of the American Mathematical Society 347, p. 4807-4837 (1995).

[31] A. Avila, P. Felmer. Periodic and subharmonic solutions for a class Second Order Hamiltonian Systems. Dynamic Systems and Applications Vol. 3, No 4, 519-536, 1994.

[30] P. Felmer. Nonexistence and symmetry theorems for elliptic systems in R^N. Rendiconti del Circolo Matematico de Palermo, Serie II-Tomo XLIII, 259-284, 1994

[29] D. de Figueiredo, P. Felmer. A Liouville-type theorem for elliptic systems. Annali de la Scuola Normale Superiore de Pisa. Serie IV. Vol. XXI. Fasc. 3, 1994, 387-397.

[28] C. Cortázar, M. Elgueta, P. Felmer. Existence of signed solutions for a semilinear elliptic boundary value problem. Differential and Integral Equations. Vol 7, No1, 1994, 293-299.

[27] D. de Figueiredo, P. Felmer. On superquadratic elliptic systems. Trans. AMS. Vol. 343, No 1, 1994, 99-116.

[26] P. Felmer, R. Manásevich. A global approach for bifurcation from a non-degenerate periodic solution. Nonlinear Analysis, TMA. Vol. 22, No 3, pp. 353-361, 1994.

[25] Panagiota Daskalopoulos, Manuel del Pino. On fast diffusion nonlinear heat equations and a related singular elliptic problem.. Indiana University Mathematics Journal 43 p. 703-727 (1994).

[24] Manuel del Pino . A priori estimates and applications to existence-nonexistence for a semilinear elliptic system.. Indiana Univ. Math. Journal 43 p. 77-129, (1994).

[23] Manuel del Pino . Positive solutions of a semilinear elliptic equation on a compact manifold.. Nonlinear Analysis 22, p. 1423-1430 (1994).

[22] P. Felmer, E. Silva. Subharmonics near an equilibrium for some second order hamiltonian systems. Proceedings of the Royal Society of Edinburgh, 123A, 819-834, 1993.

[21] P. Felmer. Periodic Solutions of `superquadratic´ Hamiltonian systems. Journal of Diff. Eqs., Vol.102, No. 1, 1993, 188-207.

[20] Manuel del Pino, Raúl Manásevich . Infinitely many $T$-periodic solutions for a problem arising in Nonlinear Elasticity. Journal of Differential Equations 103, p. 260-277, (1993).

[19] P. Felmer, R. Manásevich, F. de Thelin. Existence and uniqueness of positive solutions for certain quasilinear elliptic systems. Comunications in P.D.E. Vol. 17, No. 11\& 12, 1992, 2013-2029.

[18] P. Felmer. Rotation type solutions for superquadratic Hamiltonian systems. Nonlinear Analysis, TMA. Vol. 19, No.5, 1992, 409-425.

[17] P. Felmer. Periodic solutions of spatially periodic Hamiltonian Systems. Journal of Differential Equations Vol. 98, No. 1, July 1992.

[16] Manuel del Pino . A global estimate for the gradient in a singular elliptic boundary value problem.. Proceedings of the Royal Society of Edinburgh 122A, p. 341-352, (1992).

[15] Manuel del Pino . Layers with nonsmooth interface in a semilinear elliptic problem.. Communications in Partial Differential Equations 17, p. 1695-1708, (1992).

[14] Manuel del Pino, Raúl Manásevich, Alberto Montero. T-periodic solutions for some second order differential equations with singularities.. Proceedings of the Royal Society of Edinburgh, 120A, p. 231-243, (1992).

[13] Manuel del Pino, Raúl Manásevich, Alejandro Murúa. Periodic solutions of prescribed period for a second order quasilinear problem.. Nonlinear Analysis 18, p. 79-92, (1992).

[12] Manuel del Pino, Raúl Manásevich, Alejandro Murúa. On the number of $2pi$ periodic solutions for u´´+g(u)=s(1+h(t)) using the Poincare-Birkhoff Theorem.. Journal of Differential Equations 95, p. 240-258, (1992).

[11] P. Felmer. Heteroclinic orbits for spatially periodic Hamiltonian systems. Analyse Nonlineaire A.I.H.P. Vol. 8, No. 5, 1991, 477-497.

[10] Manuel del Pino, Raúl Manásevich. Existence for a fourth-order boundary value problem under a two-parameter nonresonance condition.. Proceedings of the American Mathematical Society 112, p. 131-138, (1991).

[9] Manuel del Pino, Raúl Manásevich. Global bifurcation from the eigenvalues of the p-Laplacian.. Journal of Differential Equations 92, p. 226-251, (1991)

[8] Manuel del Pino, Raúl Manásevich . Multiple solutions for the $p$-Laplacian under global nonresonance.. Proceedings of the American Mathematical Society, 112, p.131-138, (1991).

[7] Manuel del Pino, Manuel Elgueta, Raúl Manásevich. Generalizing Hartman´s oscillation result for $(|u´|^{p-2}u´)´ +c(t)|u|^{p-2}u=0$, $p>1$.. Houston J. of Math. 17, 63-70, (1991).

[6] P. Felmer. Multiple solutions of Lagrangean systems in T^n. Nonlinear Analysis TMA. Vol. 15, No. 1990, 815-831.

[5] P. Felmer. Subharmonics near an equilibrium point for Hamiltonian Systems. Manuscripta Mathematica 66, 1990, 359-396.

[4] Manuel del Pino, Raúl Manásevich. Some nonlinear Sturmian theory for $(vert u´vert sp {p-2}u´)´+c(t)vert uvert sp {p-2}u=0$. Differential equations (Xanthi, 1987), 183--190, Lecture Notes in Pure and Appl. Math., 118, Dekker, New York, 1989.

[3] Manuel del Pino, Manuel Elgueta, Raúl Manásevich . A homotopic deformation along $p$ of a Leray-Schauder degree result and existence for (|u´|^{p-2}u´)´ +f(u,t)=0, $u(0)=u(T)=0$, $p>1$. Journal of Differential Equations 80, p. 1-13, (1989).

[2] Manuel del Pino, Raúl Manásevich . Oscillation and non-oscillation for the equation $(|u´|^{p-2}u´)´ +c(t)|u|^{p-2}u=0$, $p>1$.. Houston Journal of Mathematics 14, p. 173-177, (1988).

[1] P. Felmer, R. Manásevich. Periodic solutions of a coupled system of telegraph-wave equations. J. Math. Anal. \& Appl. Vol. 116, No. 1, 1986, 10-21.