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Artículos

por Del Pino M., Manuel

2008

105.- Del Pino, Manuel; Kowalczyk, Michaƚ; Wei, Juncheng. A counterexample to a conjecture by De Giorgi in large dimensions. C. R. Math. Acad. Sci. Paris 346 (2008), no. 23-24, 1261--1266.

104.- Del Pino, Manuel; Kowalczyk, Michaƚ; Wei, Juncheng. The Toda system and clustering interfaces in the Allen-Cahn equation. Arch. Ration. Mech. Anal. 190 (2008), no. 1, 141--187.

103.- Del Pino, Manuel; Kowalczyk, Michaƚ. Renormalized energy of interacting Ginzburg-Landau vortex filaments. J. Lond. Math. Soc. (2) 77 (2008), no. 3, 647--665.

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

101.- Del Pino, Manuel. Supercritical elliptic problems from a perturbation viewpoint. Discrete Contin. Dyn. Syst. 21 (2008), no. 1, 69--89.

2007

100.- Daskalopoulos, P.; Del Pino, Manuel. Type II collapsing of maximal solutions to the Ricci flow in $\Bbb R\sp 2$. Ann. Inst. H. Poincaré Anal. Non Linéaire 24 (2007), no. 6, 851--874.

99.- Del Pino, Manuel; Musso, Monica; Pacard, Frank. Boundary singularities for weak solutions of semilinear elliptic problems. J. Funct. Anal. 253 (2007), no. 1, 241--272.

98.- Del Pino, Manuel; Guerra, Ignacio. Ground states of a prescribed mean curvature equation. J. Differential Equations 241 (2007), no. 1, 112--129.

97.- Dávila, Juan; Del Pino, Manuel; Musso, Monica. The supercritical Lane-Emden-Fowler equation in exterior domains. Comm. Partial Differential Equations 32 (2007), no. 7-9, 1225--1243.

96.- Del Pino, Manuel; Wei, Juncheng. Problèmes elliptiques supercritiques dans des domaines avec de petits trous. [Supercritical elliptic problems in domains with small holes] Ann. Inst. H. Poincaré Anal. Non Linéaire 24 (2007), no. 4, 507--520.

95.- Dávila, Juan; Del Pino, Manuel; Musso, Monica; Wei, Juncheng. Standing waves for supercritical nonlinear Schrödinger equations. J. Differential Equations 236 (2007), no. 1, 164--198.

94.- Del Pino, Manuel; Kowalczyk, Michal; Wei, Jun-Cheng. Concentration on curves for nonlinear Schrödinger equations. Comm. Pure Appl. Math. 60 (2007), no. 1, 113--146.

2006

93.- Del Pino, Manuel; Muñoz, Claudio. The two-dimensional Lazer-McKenna conjecture for an exponential nonlinearity. J. Differential Equations 231 (2006), no. 1, 108--134.

92.- Del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng. Resonance and interior layers in an inhomogeneous phase transition model. SIAM J. Math. Anal. 38 (2006/07), no. 5, 1542--1564.

STRONG>91.- Del Pino, Manuel. Nonlinear elliptic problems above criticality. Milan J. Math. 74 (2006), 313--338.

90.- Dávila, Juan; Del Pino, Manuel; Musso, Monica; Wei, Juncheng. Singular limits of a two-dimensional boundary value problem arising in corrosion modelling. Arch. Ration. Mech. Anal. 182 (2006), no. 2, 181--221.

89.- Contreras, Andrés; Del Pino, Manuel. Nodal bubble-tower solutions to radial elliptic problems near criticality. Discrete Contin. Dyn. Syst. 16 (2006), no. 3, 525--539.

88.- Del Pino, Manuel; Kowalczyk, Michal; Musso, Monica. Variational reduction for Ginzburg-Landau vortices. J. Funct. Anal. 239 (2006), no. 2, 497--541.

87.- Del Pino, Manuel; Dolbeault, Jean; Musso, Monica. Multiple bubbling for the exponential nonlinearity in the slightly supercritical case. Commun. Pure Appl. Anal. 5 (2006), no. 3, 463--482.

86.- Del Pino, Manuel; Wei, Juncheng.  Collapsing steady states of the Keller-Segel system. Nonlinearity 19 (2006), no. 3, 661--684.

2005

85.- Del Pino, Manuel; Musso, Monica. Bubbling and criticality in two and higher dimensions. Recent advances in elliptic and parabolic problems, 41--59, World Sci. Publ., Hackensack, NJ, 2005.

84.- Dávila, Juan; Del Pino, Manuel; Musso, Monica. Concentrating solutions in a two-dimensional elliptic problem with exponential Neumann data. J. Funct. Anal. 227 (2005), no. 2, 430--490.

83.- Del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng. Nonlinear Schrödinger equations: concentration on weighted geodesics in the semi-classical limit. C. R. Math. Acad. Sci. Paris 341 (2005), no. 4, 223--228.

82.- Del Pino, Manuel; Kowalczyk, Michal; Musso, Mónica. Singular limits in Liouville-type equations. Calc. Var. Partial Differential Equations 24 (2005), no. 1, 47--81.

81.- Del Pino, Manuel; Musso, Mónica; Pistoia, Angela. Super-critical boundary bubbling in a semilinear Neumann problem. Ann. Inst. H. Poincaré Anal. Non Linéaire 22 (2005), no. 1, 45--82.

2004

80.- Del Pino, Manuel; Dolbeault, Jean; Musso, Mónica. The Brezis-Nirenberg problem near criticality in dimension 3. J. Math. Pures Appl. (9) 83 (2004), no. 12, 1405--1456.

79.- Del Pino, Manuel; Dolbeault, Jean; Musso, Mónica. Duality in sub-supercritical bubbling in the Brezis-Nirenberg problem near the critical exponent. Partial differential equations and inverse problems, 339--350.

78.- Del Pino, Manuel; Dolbeault, Jean; Musso, Mónica. A phase plane analysis of the ömulti-bubblingö phenomenon in some slightly supercritical equations. Monatsh. Math. 142 (2004), no. 1-2, 57--79.

77.- Del Pino, Manuel; Felmer, Patricio; Musso, Mónica.  Erratum: öTwo-bubble solutions in the super-critical Bahri-Coron’s problemö [Calc. Var. Partial Differential Equations 16 (2003), no. 2, 113--145; MR1956850 (2004a:35079)]. Calc. Var. Partial Differential Equations 20 (2004), no. 2, 231--233.

76.- Del Pino, Manuel; Dolbeault, Jean; Gentil, Ivan. Nonlinear diffusions, hypercontractivity and the optimal $L\sp p$-Euclidean logarithmic Sobolev inequality. J. Math. Anal. Appl. 293 (2004), no. 2, 375--388.

75.- Del Pino, Manuel; Felmer, Patricio; Kowalczyk, Michal. Minimality and nondegeneracy of degree-one Ginzburg-Landau vortex as a Hardy’s type inequality. Int. Math. Res. Not. 2004, no. 30, 1511--1527.

74.- Clapp, Mónica; Del Pino, Manuel; Musso, Mónica. Multiple solutions for a non-homogeneous elliptic equation at the critical exponent. Proc. Roy. Soc. Edinburgh Sect. A 134 (2004), no. 1, 69--87.

2003

73.- Del Pino, Manuel; Musso, Mónica. Super-critical bubbling in elliptic boundary value problems. Variational problems and related topics (Japanese) (Kyoto, 2002). S\=urikaisekikenky\=usho K\=oky\=uroku No. 1307 (2003), 85--108.

72.- Del Pino, Manuel; Dolbeault, Jean; Musso, Mónica.  öBubble-towerö radial solutions in the slightly supercritical Brezis-Nirenberg problem. J. Differential Equations 193 (2003), no. 2, 280--306.

71.- Del Pino, Manuel; Musso, Mónica. Super-critical bubbling in elliptic boundary value problems. Variational problems and related topics (Japanese) (Kyoto, 2002). S=urikaisekikenky=usho K=oky=uroku No. 1307 (2003), 85--108.

70.- Del Pino, Manuel; Dolbeault, Jean. Asymptotic behavior of nonlinear diffusions. Math. Res. Lett. 10 (2003), no. 4, 551--557.

69.- Del Pino, Manuel; García-Melián, Jorge; Musso, Mónica.  Local bifurcation from the second eigenvalue of the Laplacian in a square. Proc. Amer. Math. Soc. 131 (2003), no. 11, 3499--3505.

68.- Del Pino, Manuel; Felmer, Patricio; Musso, Mónica. Multi-bubble solutions for slightly super-critical elliptic problems in domains with symmetries. Bull. London Math. Soc. 35(2003), no. 4, 513--521.

67.- Aftalion, Amandine; Del Pino, Manuel; Letelier, René Multiple boundary blow-up solutions for nonlinear elliptic equations. Proc. Roy. Soc. Edinburgh Sect. A 133 (2003), no. 2, 225--235.

66.- Del Pino, Manuel; Dolbeault, Jean The optimal Euclidean $Lsp p$-Sobolev logarithmic inequality. J. Funct. Anal. 197 (2003), no. 1, 151--161.

65.- Del Pino, Manuel; Felmer, Patricio; Musso, Mónica Two-bubble solutions in the super-critical Bahri-Coron’s problem. Calc. Var. Partial Differential Equations 16 (2003), no. 2, 113--145.

64.- Del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng. Multi-bump ground states of the Gierer-Meinhardt system in $Bbb Rsp 2$. Ann. Inst. H. Poincaré Anal. Non Linéaire 20 (2003), no. 1, 53--85.

2002

63.- Current developments in partial differential equations. Lectures from the International School on Partial Differential Equations---CIMPA Summer School held in Temuco, January 1999. Edited by Carlos Conca, Del Pino, Manuel, Patricio Felmer and Raúl Manásevich. Discrete Contin. Dyn. Syst. 8 (2002), no. 2. American Institute of Mathematical Sciences, Springfield, MO, 2002. pp. i--ii and 289--513.

62.- Del Pino, Manuel; Flores, César Asymptotics of Sobolev embeddings and singular perturbations for the $p$-Laplacian. Proc. Amer. Math. Soc. 130 (2002), no. 10, 2931--2939.

61.- Del Pino, Manuel; Felmer, Patricio; Kowalczyk, Michal Boundary spikes in the Gierer-Meinhardt system. Commun. Pure Appl. Anal. 1 (2002), no. 4, 437--456.

60.- Daskalopoulos, Panagiota; Del Pino, Manuel Nonradial solvability structure of super-diffusive nonlinear parabolic equations. Trans. Amer. Math. Soc. 354 (2002), no. 4, 1583--1599.

59.- Cortázar, Carmen; Del Pino, Manuel; Elgueta, Manuel Uniqueness and stability of regional blow-up in a porous-medium equation. Ann. Inst. H. Poincaré Anal. Non Linéaire 19 (2002), no. 6, 927--960.

58.- Del Pino, Manuel; Felmer, Patricio; Musso, Mónica Multi-peak solutions for super-critical elliptic problems in domains with small holes. J. Differential Equations 182 (2002), no. 2, 511--540.

57.- Del Pino, Manuel; Dolbeault, Jean Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions. J. Math. Pures Appl. (9) 81 (2002), no. 9, 847--875.

56.- Del Pino, Manuel; Felmer, Patricio; Tanaka, Kazunaga An elementary construction of complex patterns in nonlinear Schrödinger equations. Nonlinearity 15 (2002), no. 5, 1653--1671.

55.- Del Pino, Manuel; Felmer, Patricio Semi-classical states of nonlinear Schrödinger equations: a variational reduction method. Math. Ann. 324 (2002), no. 1, 1--32.

54.- Del Pino, Manuel; Sáez, Mariel Asymptotic description of vanishing in a fast-diffusion equation with absorption. Differential Integral Equations 15 (2002), no. 8, 1009--1023.

53.- Del Pino, Manuel; Dolbeault, Jean Nonlinear diffusions and optimal constants in Sobolev type inequalities: asymptotic behaviour of equations involving the $p$-Laplacian. C. R. Math. Acad. Sci. Paris 334 (2002), no. 5, 365--370.

52.- Del Pino, Manuel; Letelier, René The influence of domain geometry in boundary blow-up elliptic problems. Nonlinear Anal. 48 (2002), no. 6, Ser. A: Theory Methods, 897--904.

2001

51.- Del Pino, Manuel; Flores, César Asymptotic behavior of best constants and extremals for trace embeddings in expanding domains. Comm. Partial Differential Equations 26 (2001), no. 11-12, 2189--2210.

50.- Del Pino, Manuel; Kowalczyk, Michal; Chen, Xinfu The Gierer & Meinhardt system: the breaking of homoclinics and multi-bump ground states. Commun. Contemp. Math. 3 (2001), no. 3, 419--439.

49.- Del Pino, Manuel; Sáez, Mariel On the extinction profile for solutions of $usb t=Delta usp {(N-2)/(N+2)}$. Indiana Univ. Math. J. 50 (2001), no. 1, 611--628.

2000

48.- Del Pino, Manuel; Felmer, P.; Musso, M. Spike patterns in the super-critical Bahri-Coron problem. Variational and topological methods in the study of nonlinear phenomena (Pisa, 2000), 89--103.

47.- Del Pino, Manuel; Felmer, Patricio L.; Sternberg, Peter Boundary concentration for eigenvalue problems related to the onset of superconductivity. Comm. Math. Phys. 210 (2000), no. 2, 413--446.

46.- Bamón, Rodrigo; Flores, Isabel; Del Pino, Manuel Ground states of semilinear elliptic equations: a geometric approach. Ann. Inst. H. Poincaré Anal. Non Linéaire 17 (2000), no. 5, 551--581.

45.- Bamón, Rodrigo; Flores, Isabel; Del Pino, Manuel Positive solutions of elliptic equations in $ Rsp N$ with a super-subcritical nonlinearity. C. R. Acad. Sci. Paris Sér. I Math. 330 (2000), no. 3, 187--191.

44.- Del Pino, Manuel; Felmer, Patricio L.; Wei, Juncheng Multi-peak solutions for some singular perturbation problems. Calc. Var. Partial Differential Equations 10 (2000), no. 2, 119--134.

43.- Del Pino, Manuel; Felmer, Patricio L.; Wei, Juncheng On the role of distance function in some singular perturbation problems. Comm. Partial Differential Equations 25 (2000), no. 1-2, 155--177.

1999

42.- Del Pino, Manuel; Felmer, Patricio L. Spike-layered solutions of singularly perturbed elliptic problems in a degenerate setting. Indiana Univ. Math. J. 48 (1999), no. 3, 883--898.

41.- Cortázar, Carmen; Del Pino, Manuel; Elgueta, Manuel The problem of uniqueness of the limit in a semilinear heat equation. Comm. Partial Differential Equations 24 (1999), no. 11-12, 2147--2172.

40.- Del Pino, Manuel; Felmer, Patricio L.; Wei, Juncheng On the role of mean curvature in some singularly perturbed Neumann problems. SIAM J. Math. Anal. 31 (1999), no. 1, 63--79.

39.- Daskalopoulos, Panagiota; Del Pino, Manuel On the Cauchy problem for $usb t=Deltalog u$ in higher dimensions. Math. Ann. 313 (1999), no. 2, 189--206.

38.- Del Pino, Manuel; Drábek, Pavel; Manásevich, Raul The Fredholm alternative at the first eigenvalue for the one-dimensional $p$-Laplacian. J. Differential Equations 151 (1999), no. 2, 386--419.

1998

37.- Del Pino, Manuel; Felmer, Patricio L. On the basic concentration estimate for the Ginzburg-Landau equation. Differential Integral Equations 11 (1998), no. 5, 771--779.

36.- Del Pino, Manuel; Felmer, Patricio L.; Miyagaki, Olimpio H. Existence of positive bound states of nonlinear Schrödinger equations with saddle-like potential. Nonlinear Anal. 34 (1998), no. 7, 979--989.

35.- Cortázar, Carmen; Del Pino, Manuel; Elgueta, Manuel On the blow-up set for $usb t=Delta usp m+usp m$, $m>1$. Indiana Univ. Math. J. 47 (1998), no. 2, 541--561.

34.- Del Pino, Manuel; Drábek, Pavel; Manasevich, Raul The Fredholm alternative at the first eigenvalue for the one-dimensional $p$-Laplacian. C. R. Acad. Sci. Paris Sér. I Math. 327 (1998), no. 5, 461--465.

33.- Del Pino, Manuel; Felmer, Patricio L. Multi-peak bound states for nonlinear Schrödinger equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 15 (1998), no. 2, 127--149.

1997

32.- Del Pino, Manuel; Felmer, Patricio L. Local minimizers for the Ginzburg-Landau energy. Math. Z. 225 (1997), no. 4, 671--684.

31.- Del Pino, Manuel; Felmer, Patricio L. Semi-classical states for nonlinear Schrödinger equations. J. Funct. Anal. 149 (1997), no. 1, 245--265.

30.- Cortázar, Carmen; Del Pino, Manuel; Elgueta, Manuel On the short-time behavior of the free boundary of a porous medium equation. Duke Math. J. 87 (1997), no. 1, 133--149.

29.- Daskalopoulos, Panagiota; Del Pino, Manuel On nonlinear parabolic equations of very fast diffusion. Arch. Rational Mech. Anal. 137 (1997), no. 4, 363--380.

28.- Del Pino, Manuel; Felmer, Patricio L. Localizing spike-layer patterns in singularly perturbed elliptic problems. Proceedings of the International Conference on Asymptotics in Nonlinear Diffusive Systems (Sendai, 1997), 35--42.

1996

27.- Del Pino, Manuel; Felmer, Patricio L. Local mountain passes for semilinear elliptic problems in unbounded domains. Calc. Var. Partial Differential Equations 4 (1996), no. 2, 121--137.

26.- Alama, Stanley; Del Pino, Manuel Solutions of elliptic equations with indefinite nonlinearities via Morse theory and linking. Ann. Inst. H. Poincaré Anal. Non Linéaire 13 (1996), no. 1, 95--115.

25.- Del Pino, Manuel; Hernandez, Gaston E. Solvability of the Neumann problem in a ball for $-Delta u+usp {-v}=h(vert xvert )$, $v>1$. J. Differential Equations 124 (1996), no. 1, 108--131.

24.- Del Pino, Manuel A.; Felmer, Patricio L. Least energy solutions for elliptic equations in unbounded domains. Proc. Roy. Soc. Edinburgh Sect. A 126 (1996), no. 1, 195--208.

1995

23.- Daskalopoulos, Panagiota; Del Pino, Manuel. Recent progress on super-diffusive nonlinear parabolic problems. Reaction diffusion systems (Trieste, 1995), 107--119.

22.- Del Pino, Manuel A.; Manásevich, Raúl F. $T$-periodic solutions for a second order system with singular nonlinearity. Differential Integral Equations 8 (1995), no. 7, 1873--1883.

21.- Daskalopoulos, Panagiota; Del Pino, Manuel A. On a singular diffusion equation. Comm. Anal. Geom. 3 (1995), no. 3-4, 523--542.

20.- Del Pino, Manuel; Felmer, Patricio Locally energy-minimizing solution of the Ginzburg-Landau equation. C. R. Acad. Sci. Paris Sér. I Math. 321 (1995), no. 9, 1207--1211.

19.- Del Pino, Manuel A.; Felmer, Patricio L. Multiple solutions for a semilinear elliptic equation. Trans. Amer. Math. Soc. 347 (1995), no. 12, 4839--4853.

18.- Del Pino, Manuel A. Radially symmetric internal layers in a semilinear elliptic system. Trans. Amer. Math. Soc. 347 (1995), no. 12, 4807--4837.

17.- Del Pino, Manuel A. Nonexistence of signed solutions for a semilinear elliptic problem. Differential Integral Equations 8 (1995), no. 5, 1259--1263.

1994

16.- Del Pino, Manuel A. Positive solutions of a semilinear elliptic equation on a compact manifold. Nonlinear Anal. 22 (1994), no. 11, 1423--1430.

15.- Daskalopoulos, Panagiota; Del Pino, Manuel A. On fast diffusion nonlinear heat equations and a related singular elliptic problem. Indiana Univ. Math. J. 43 (1994), no. 2, 703--728.

14.- Del Pino, Manuel A. A priori estimates and applications to existence-nonexistence for a semilinear elliptic system. Indiana Univ. Math. J. 43 (1994), no. 1, 77--129.

1993

13.- Del Pino, Manuel A.; Manásevich, Raúl F. Infinitely many $T$-periodic solutions for a problem arising in nonlinear elasticity. J. Differential Equations 103 (1993), no. 2, 260--277.


1992

12.- Del Pino, Manuel A. A global estimate for the gradient in a singular elliptic boundary value problem. Proc. Roy. Soc. Edinburgh Sect. A 122 (1992), no. 3-4, 341--352.

11.- Del Pino, Manuel A. Layers with nonsmooth interface in a semilinear elliptic problem. Comm. Partial Differential Equations 17 (1992), no. 9-10, 1695--1708.

10.- Del Pino, Manuel A.; Manásevich, Raúl F.; Murúa, Alejandro On the number of $2pi$ periodic solutions for $u’+g(u)=s(1+h(t))$ using the Poincaré-Birkhoff theorem. J. Differential Equations 95 (1992), no. 2, 240--258.

9.- Del Pino, Manuel; Manásevich, Raúl; Montero, Alberto $T$-periodic solutions for some second order differential equations with singularities. Proc. Roy. Soc. Edinburgh Sect. A 120 (1992), no. 3-4, 231--243.

8.- Del Pino, Manuel A.; Manásevich, Raúl F.; Murúa, Alejandro E. Existence and multiplicity of solutions with prescribed period for a second order quasilinear ODE. Nonlinear Anal. 18 (1992), no. 1, 79--92.

1991

7.- Del Pino, Manuel A.; Manásevich, Raúl F. Global bifurcation from the eigenvalues of the $p$-Laplacian. J. Differential Equations 92 (1991), no. 2, 226--251.

6.- Del Pino, Manuel; Elgueta, Manuel; Manásevich, Raúl Generalizing Hartman’s oscillation result for $(vert x’vert sp {p-2}x’)’+c(t)vert xvert sp {p-2}x=0,;p>1$. Houston J. Math. 17 (1991), no. 1, 63--70.

1989

5.- Del Pino, Manuel A.; Manásevich, Raúl F. Existence for a fourth-order boundary value problem under a two-parameter nonresonance condition. Proc. Amer. Math. Soc. 112 (1991), no. 1, 81--86.

4.- Del Pino, Manuel A.; Manásevich, Raúl F. Multiple solutions for the $p$-Laplacian under global nonresonance. Proc. Amer. Math. Soc. 112 (1991), no. 1, 131--138.

3.- Del Pino, Manuel; Elgueta, Manuel; Manásevich, Raúl A homotopic deformation along p of aLeray-Schauder degree resultan de xistencefor $(vertu’ vertsp{p-2}u’)’ + f(t,u) =0,;u (0)=u (T) = 0,;p> 1. J. Differential Equations 80 (1989), no. 1, 1--13.

2.- Del Pino, Manuel; Manásevich, Raúl Oscillation and nonoscillation for $(vert u’vert sp {p-2}u’)’+a(t)vert uvert sp {p-2}u=0,;p>1$. Houston J. Math. 14 (1988), no. 2, 173--177.

1987

1.- Del Pino, Manuel; Manásevich, Raúl 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



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