Members   Manuel del Pino

Manuel del Pino

 

Ph.D. University of Minnesota, 1992
Professor
Departamento de Ingeniería Matemática y
Centro de Modelamiento Matemático
Universidad de Chile
delpino@dim.uchile.cl

Curriculum



[123] Juan Dávila, Manuel del Pino, Ignacio Guerra Non-uniqueness of positive ground states of non-linear Schrödinger equations Proc. Lond. Math. Soc. (3) 106 (2013), no. 2, 318–344.

[122] Juan Dávila, Manuel del Pino, Ignacio Guerra Non-uniqueness of positive ground states of non-linear Schrödinger equations Proc. Lond. Math. Soc. (3) 106 (2013), no. 2, 318–344.

[121] J. Davila, M. del Pino, M. Musso Bistable boundary reactions in two dimensions Arch. Ration. Mech. Anal. 200 (2011), no. 1, 89–140. PDF

[120] Manuel Del Pino, Fethi Mahmoudi, Monica Musso Bubbling on Boundary Submanifolds for the Lin-Ni-Takagi Problem at Higher Critical Exponents

J. Eur. Math. Soc. 16, 16871748 PDF

[119] Manuel del Pino, Monica Musso, Frank Pacard Solutions of the Allen-Cahn equation invariant under screw-motion To appear in Manuscripta Mathematica (2011) PDF

[118] Juan Campos, Manuel del Pino, Jean Dolbeault Relative equilibria in continuous stellar dynamics Comm. Math. Phys. 300 (2010), no. 3, 765—788.

[117] Manuel del Pino New Entire Solutions to Some Classical Semilinear Elliptic Problems Proceedings of the International Congress of Mathematicians, ICM 2010 PDF - Bibtex

[116] Manuel del Pino, Michal Kowalczyk, Frank Pacard, Juncheng Wei The Toda system and multiple-end solutions of autonomous planar elliptic problems Advances in Mathematics 224 (2010) no. 4 1462-1516. PDF

[115] Manuel del Pino, Michal Kowalczyk, Juncheng Wei The Jacobi-Toda system and foliated interfaces. Discrete Contin. Dyn. Syst. 28 (2010), no. 3, 975--1006.

[114] Manuel del Pino, Michal Kowalczyk, Juncheng Wei, Jun Yang Interface foliations of a positively curved manifold near a closed Geom. Funct. Anal. 20 (2010), no. 4, 918–957. PDF

[113] 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. PDF

[112] M. del Pino, J. Dolbeault, S. Filippas, A. Tertikas A logarithmic Hardy inequality J. Functional Analysis 259 (2010) no 8, 2045-2072.

[111] 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. PDF

[110] M. del Pino, M. Musso, B. Ruf Beyond the Trudinger-Moser Supremum Preprint 2010. To appear in the Calculus of Variations and PDEs PDF

[109] M. del Pino, M. Musso, F. Pacard Bubbling along geodesics for some semilinear supercritical elliptic problem in bounded domains Journal of the Eur. Math. Society, 12 (2010), vol. 6, 1553-1605 PDF

[108] M. del Pino, M. Musso, F. Pacard, A. Pistoia Large Energy Entire Solutions for the Yamabe Equation To appear in the Journal of Differential Equations PDF

[107] M. del Pino, M. Musso, F. Pacard. A. Pistoia Torus action on $S^n$ and sign changing solutions for conformally invariant equations Preprint 2010. To appear in Annali della Scuola Normale Superiore PDF

[106] M. del Pino, P. Esposito, M. Musso Nondegeneracy of entire solutions of a singular Liouville equation To appear in the Proceedings of the AMS PDF

[105] 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 N PDF

[104] 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. PDF

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

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

[101] 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) PDF

[100] 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 PDF

[99] M. del Pino, P. Esposito, M. Musso Two-dimensional Euler flows with concentrated vorticities Transaction of Amer. Math. Soc. 362 (2010), No. 12, 6381-6395 PDF

[98] 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  PDF

[97] 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. PDF

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

[95] 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 PDF

[94] 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) PDF

[93] 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) PDF

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

[91] 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 PDF

[90] 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. PDF

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

[88] 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) PDF

[87] 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) PDF

[86] 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 PDF

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

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

[83] 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. PDF

[82] 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 PDF

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

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

[79] 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

[78] 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 PDF

[77] 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), PDF

[76] 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).

[75] 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)

[74] 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 PDF

[73] 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) PDF

[72] 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

[71] 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)

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

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

[68] 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 PDF

[67] 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) PDF

[66] 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.

[65] 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 PDF

[64] 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

[63] 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)

[62] 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. PDF

[61] 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

[60] 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)

[59] 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) PDF

[58] 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  

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

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

[55] 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)

[54] 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.

[53] 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.

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

[51] 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

[50] 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.  

[49] 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. PDF

[48] 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).

[47] 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)

[46] 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)

[45] 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)

[44] 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).

[43] 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)

[42] 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)

[41] 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)

[40] 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)

[39] 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)

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

[37] 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)

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

[35] 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).

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

[33] 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

[32] 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)

[31] 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)

[30] 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)

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

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

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

[26] 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)

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

[24] 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). PDF

[23] 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)

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

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

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

[19] 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).

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

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

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

[15] 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).

[14] 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).  

[13] 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).

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

[11] 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).

[10] 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).

[9] 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).

[8] 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).

[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] 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).

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

[4] 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).

[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 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.

[1] 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).