CMM

2007

Centro de Modelamiento Matemático - CMM

Universidad de Chile 2007

Our goal at CMM To establish meaningful and productive relationships
between advanced mathematics and all endeavors of modern society

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Publications

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  Felipe Alvarez   Jorge Amaya   Rodolfo Araya   Alexis Ballier
  Rommel Bustinza   Raimund Bürger   Carlos Conca   Rafael Correa
  Juan Dávila   Manuel Del Pino   Patricio Felmer   Fabián Flores
  Joaquín Fontbona   Anahí Gajardo   Laura Gallardo   Gabriel Gatica
  Mauricio González   Raúl Gouet   Abderrahim Hantoute   Alejandro Jofré
  Marcos Kiwi   Michal Kowalczyk   Yong Liu   Alejandro Maass
  Fethi Mahmoudi   Raúl Manásevich   Servet Martínez   Salomé Martínez
  Martín Matamala   Jaime Ortega   Axel Osses   Rodrigo Palma
  Tomás Pérez-Acle   Héctor Ramírez   Iván Rapaport   Rodolfo Rodríguez
  Jorge San Martín   Jaime San Martín   Michael Schraudner   Mauricio Sepúlveda
  Maya Stein


   Year  
  Manuel Del Pino  
2010
New solutions for Trudinger-Moser critical equations in $Bbb R2$
Del Pino M; Musso M; Bernhard R; J. Funct. Anal. 258 (2), Pages 421-457. (2010)
2010
Multiple-end solutions to the Allen-Cahn equation in $Bbb R2$
Del Pino M; Kowalczyk M; Pacard F; Wei J; J. Funct. Anal. 258 (2) pp.458-503. (2010)
2010
The Toda system and multiple-end solutions of autonomous planar elliptic problems
Del Pino M; KowalczykM; Pacard F; Wei J; Advances in Mathematics 224 (4-10) pp.1462-1516.(2010)
2010
Bubbling along geodesics for some semilinear supercritical elliptic problem in bounded domains

Del Pino M; Musso M; Pacard F.J. Eur. Math. Soc., 12(6), pp. 1553-1605. (2010)
2010
Interface foliations of a positively curved manifold near a closed
Del Pino M; Kowalczyk M; Wei J; Yang J; Geometric and Functional Analysis (GAFA), 20(4), pp. 918-957. (2010)
2010
Two-dimensional Euler flows with concentrated vorticities
Del Pino M; Esposito P; Musso M; Transactions of American Mathematical Society, 362, pp.6381-6395. (2010)
2010
Relative equilibria in continuous stellar dynamics
Campos J; Del Pino M; Dolbeault J; Comunications in Mathematical Physics, 300(3), pp. 765-788. (2010)
2010
A logarithmic Hardy inequality
Del Pino M; Dolbeault J; Filippas S; Tertikas A; Journal of Funtional Analysis 259 (8) pp. 2045-2072. (2010)
2010
The Jacobi-Toda Sustem and foliated. (ISI)
Del Pino, M; Kowalczyk, M and Wei, J. Interfaces. Discrete Contin. Dyn. Syst. 28(3)pp. 975–1006(2010).
2008
Renormalized energy of interacting Ginzburg-Landau vortex filaments
Del Pino M; Kowalczyk M; J. London Mathematical Society, pp. 1-19. (2008)
2008
Fast and slow decay solutions to a non-local equations with monostable nonlinearity
Dávila J; Del Pino M; Musso M; Wei J; Calc. Var. 32, pp. 453-480. (2008)
2008
A counterexample to a conjecture by De Giorgi in Large dimensions
Del Pino ; Kowalczyk M; Wie J; Comptes Rendus Mathematique, vol.346(23-24), pp. 1261-1266. (2008)
2008
Supercritical elliptic problems from a  perturbation viewpoint
Del Pino M; Discrete and Continous Dynamical System vol 21, pp. 69-89. (2008)
2008
The Toda System and Clustering Interfaces in the Allen–Cahn equation
Del Pino M; Kowalczyk M; Wei J; Arch. Rational Mech. Anal. 190, pp. 141–187. (2008)
2007
Type II collapsing of maximal solutions to the Ricci flow in $R2$
Daskalopoulos P; Del Pino M; Ann. I. Henri Poincaré (C) Non Linear Analysis Volume 24, nº 6, pp. 851-874. (2007)
2007
Supercritical elliptic problems in domains with small holes
Del Pino M; Wei J; Annales de l´Institut Henri Poincare (C) Non Linear Analysis, Volume 24, Issue 4, pp. 507-520. (2007)
2007
Boundary singularities for weak solutions of semilinear elliptic problems
Del Pino M; Musso M; Pacard F; Journal of Functional Analysis 253, pp. 241–272. (2007)
2007
Ground states of a prescribed mean curvature equation
Del Pino M; Guerra I; Journal of Differential Equations 241, pp. 112-129. (2007)
2007
The supercritical Lane-Emden-Fowler equation in exterior domains

Dávila J; Del Pino M; Musso M; Communications in Partial Differential Equations, 32, pp. 1225-1243. (2007)
2007
Standing waves for supercritical nonlinear Schrödinger equations
Dávila J; Del Pino M; Musso M; Wei J; Journal of Differential Equations 236, no. 1, pp. 164-198. (2007)
2006
Collapsing steady states of the Keller-Segel System
Del Pino M; J. Wei. Nonlinearity. Vol. 19. pp. 661-684. (2006)
2006
Multiple bubbling for the exponential nonlinearity in the slightly supercritical case
Del Pino M; J. Dolbeaut, Musso M; Commun. Pure Appl. Vol. 5(3), pp. 463-482. (2006)
2006
Variational reduction for Ginzburg-Landau vortices
Del Pino M; M. Kowalczyk, Musso M; Journal Funct. Anal. Vol. 239(2), pp. 497-541. (2006)
2006
Nodal bubble-tower solutions to radial elliptic problems near criticality
A. Contreras, M. Del Pino. Discrete and Continous Dynamical Systems. Vol. 16(3), pp. 525-539. (2006)
2006
On the two dimensional ambrosetti prodi problem for an exponential nonlinearity
Del Pino M; C. Muñoz. Journal Differential Equations. Vol. 231(1), pp. 108-134. (2006)
2006
Bubbling in nonlinear elliptic problems near criticality
Del Pino M; Kowalczyk M; Hand of Diff. Eq. Vol. III, pp. 215-316. (2006)
2006
Singular limits of a two dimensional boundary value problem arising in corrosion modelling
Dávila J; Del Pino M; M. Musso, J. Wei. Arch Ration. Mech. Anal. Vol. 182(2), pp. 181-221. (2006)
2006
Resonance and interior layers in an inhomogeneous phases transition model
Del Pino M; M. Kowalczyk, J. Wei. SIAM J. Math. Anal. 38, nordm; 5, pp. 1542-1564. (2006/2007)
2005
Nonlinear Schrodinger equations: concentration on weighted geodesics in the semi classical limit
Del Pino M; M. Kowalczyk, J. Wei. Partial Differential Equations. Vol. 1(341), pp. 223-228. (2005)
2005
Singular limits in Liouville type equations
Del Pino M; M. Kowalczyk, Musso M; Calc. Var. Vol. 24. pp. 47-81. (2005)
2005
Super critical boundary bubbling in a semilinear Neumann problem
Del Pino M; M. Musso, A. Pistoia. Ann. I. H. Poicare. Vol. 22, pp. 45-82. (2005)
2005
Concentrating solutions in a two-dimensional elliptic problem with exponential Neumann data
Dávila J; Del Pino M; Musso M; J. Funct. Anal. Vol. 227 (2). pp. 430-490. (2005)
2004
Minimality and non-degeneracy of degree-one Ginzburg-Landau cortex as a Hardy s type inequality
Del Pino M; Felmer P; Kowalczyk M; Int. Math. Res. Not. Vol. 30. pp. 1511-1527. (2004)
2004
The Brezis-Nirenberg problem near criticality in dimension 3
Del Pino M; Dolbeault J; Musso M; J. Math. Pures. Appl. Vol. 83. pp. 1405-1456. (2004)
2004
A phase analysis of the multi bubbling phenomenon in some slightly supercritical equations
Del Pino M; Dolbeault J; Musso M; Monatsh Math. Vol. 142. pp. 57-79. (2004)
2003
Multi-bump ground states of the Gierer-Meinhardt system in $Bbb Rsp 2$
Del Pino M; Kowalczyk M; Wei J; Ann. Inst. H. Poincaré Anal. Non Linéaire 20, no. 1, pp. 53-85. (2003)
2003
Two-bubble solutions in the super-critical Bahri-Coron s problem.
Del Pino M; Felmer P; Musso M; Calc. Var. Partial Differential Equations 16, no. 16, pp. 113-145. (2003)
2003
The optimal Euclidean $Lsp p$-Sobolev logarithmic inequality
Del Pino M; Dolbeault J; J. Funct. Anal. 197, no. 1, pp. 151-161. (2003)
2003
Multiple boundary blow-up solutions for nonlinear elliptic equations
Aftalion A; Del Pino M; Letelier R; Proc. Roy. Soc. Edinburgh Sect. A 133, no. 2, pp. 225-235. (2003)
2003
Multi-bubble solutions for slightly super-critical elliptic problems
Del Pino M; Felmer P; Musso M; Bull. London Math. Soc. 35, no. 4, pp. 513-521. (2003)
2003
An elementary method for the construction of complex solutions for nonlinear Schroedinger equations
Del Pino M; Felmer P; Tanaka K; Nonlinearity. Vol. 15 (5). pp. 1653-1671. (2003)
2003
Local bifurcation from the second eigenvalue of the Laplacian in a square
Del Pino M; Garcia-Melian J; Musso M; Proc. Amer. Math. Soc. Vol 131(11). pp. 3499-3505. (2003)
2003
Asymptotic behavior of nonlinear diffusions
Del Pino M; Dolbeault J; Math. Res. Lett.Vol. 10(4). pp. 551-557. (2003)
2003
Bubble-tower radial solutions in the slightly supercritical Brezis-Nirenberg Problem
Del Pino M; Dolbeault J; Musso M; J. Differ. Equations. Vol. 193(2). pp. 280-306. (2003)
2002
Asymptotics of Sobolev embeddings and singular perturbations for the $p$-Laplacian
Del Pino M; Flores C; Proc. Amer. Math. Soc. 130, no. 10, pp. 2931-2939. (2002)
2002
Current developments in partial differential equations. Lectures from the International School on Partial Differential Equations, CIMPA Summer School held in January 1999
Edited by Conca C; Del Pino M; Felmer P; 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.
2002
Boundary spikes in the Gierer-Meinhardt system
Del Pino M; Felmer P; Kowalczyk M; Commun.Pure Appl. Anal. 1, no. 4, pp. 437-456. (2002)
2002
Nonradial solvability structure of super-diffusive nonlinear parabolic equations
Daskalopoulos P; Del Pino M; Trans. Amer. Math. Soc. 354, no. 4, pp. 1583-1599. (2002)
2002
Uniqueness and stability of regional blow-up in a porous-medium equation
Cortázar C; Del Pino M; Elgueta M; Ann. Inst. H. Poincaré Anal. Non Linéaire 19 , no. 6, pp. 927-960. (2002)
2002
Multi-peak solutions for super-critical elliptic problems in domains with small holes
Del Pino M; Felmer P; Musso M; J. Differential Equations 182 , no. 2, pp.511-540. (2002)
2002
Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions
Del Pino M; Dolbeault J; J. Math. Pures Appl. (9) 81, no. 9, pp. 847-875. (2002)
2002
An elementary construction of complex patterns in nonlinear Schrödinger equations
Del Pino M; Felmer P; Tanaka K; Nonlinearity 15, no. 5, pp. 1653-1671. (2002)
2002
Semi-classical states of nonlinear Schrödinger equations: a variational reduction method
Del Pino M; Felmer P; Math. Ann. 324, no. 1, pp. 1-32. (2002)
2002
Asymptotic description of vanishing in a fast-diffusion equation with absorption
Del Pino M; Sáez M; Differential Integral Equations 15, no. 8, pp. 1009-1023. (2002)
2002
Nonlinear diffusions and optimal constants in Sobolev type inequalities: asymptotic behaviour of equations involving the $p$-Laplacian
Del Pino M; Dolbeault J; C. R. Math. Acad. Sci. Paris 334, no. 5, pp. 365-370. (2002)
2002
The influence of domain geometry in boundary blow-up elliptic problems
Del Pino M; Letelier R; Nonlinear Anal. 48, no. 6, Ser. A: Theory Methods, pp. 897-904. (2002)
2002
Spike Patterns in the super-critical Bahri-Coron s problem
Del Pino M; Felmer P; Musso M; Prog. Nonlinear Differ. Equ. Appl. Vol. 49. pp. 89-103. (2002)
2001
Asymptotic behavior of best constants and extremals for trace embeddings in expanding domains
Del Pino M; Flores C; Comm. Partial Differential Equations 26, no. 11-12, pp. 2189-2210. (2001)
2001
The Gierer & Meinhardt system: the breaking of homoclinics and multi-bump ground states
Del Pino M; Kowalczyk M; Chen X; Commun. Contemp. Math. 3, no. 3, pp. 419-439. (2001)
2001
On the extinction profile for solutions of $usb t= Delta usp {(N-2)/(N+2)}$
Del Pino M; Sáez M; Indiana Univ. Math. J. 50, no. 1, pp. 611-628. (2001)
2000
Spike patterns in the super-critical Bahri-Coron problem.
Del Pino M; Felmer P; Musso, M. Variational and topological methods in the study of nonlinear phenomena (Pisa, 2000), 89-103.
2000
Boundary concentration for eigenvalue problems related to the onset of superconductivity
Del Pino M; Felmer P; Sternberg P; Comm. Math. Phys. 210, no. 2, pp. 413-446. (2000)
2000
Positive solutions of elliptic equations in $ Rsp N$ with a super-subcritical nonlinearity
Bamón R; Flores I; Del Pino M; C. R. Acad. Sci. Paris Sér. I Math. 330, no. 3, pp. 187-191. (2000)
2000
Multi-peak solutions for some singular perturbation problems
Del Pino M; Felmer P; Wei J; Calc. Var. Partial Differential Equations 10, no. 2, pp. 119-134. (2000)
2000
Ground states of elliptic equations a: a geometric approach
Bamón R; Del Pino M; Flores I; Ann. Inst. Henri Poincare Anal. Non Lineaire. Vol. 17. pp. 551-581. (2000)
2000
On the role of distance function on certain elliptic singular perturbation problems
Del Pino M; Felmer P; Wei J. Commun. Partial Differ. Equations. Vol. 25. pp. 155-177. (2000)
1999
Spike-layered solutions of singularly perturbed elliptic problems in a degenerate setting
Del Pino M; Felmer P; Indiana Univ. Math. J. 48, no. 3, pp. 883-898. (1999)
1999
The problem of uniqueness of the limit in a sem ilinear heat equation
Cortázar C; Del Pino M; Elgueta M; Comm. Partial Differential Equations 24, no. 11-12, pp. 2147-2172. (1999)
1999
On the role of mean curvature in some singularly perturbed Neumann problems
Del Pino M; Felmer P; Wei J; SIAM J. Math. Anal. 31, no. 1, pp. 63-79. (1999)
1999
On the Cauchy problem for $usb t= Deltalog u$ in higher dimensions
Daskalopoulos P; Del Pino M; Math. Ann. 313, no. 2, pp. 189-206. (1999)
1999
The Fredholm alternative at the first eigenvalue for the one-dimensional $p$-Laplacian
Del Pino M; Drábek P; Manásevich R; J. Differential Equations 151, no. 2, pp. 386-419. (1999)
1998
On the basic concentration estimate for the Ginzburg-Landau equation
Del Pino M; Felmer P; Differential Integral Equations 11, no. 5, pp. 771-779. (1998)
1998
Existence of positive bound states of nonlinear Schrödinger equations with saddle-like potential
Del Pino M; Felmer P; Miyagaki OH. Nonlinear Anal. 34, no. 7, pp. 979-989. (1998)
1998
On the blow-up set for $usb t= Delta usp m+usp m$, $m>1$
Cortázar C; Del Pino M; Elgueta M; Indiana Univ. Math. J. 47, no. 2, pp. 541-561. (1998)
1998
The Fredholm alternative at the first eigenvalue for the one-dimensional $p$-Laplacian
Del Pino M; Drábek P; Manasevich R; C. R. Acad. Sci. Paris Sér. I Math. 327, no. 5, pp. 461-465. (1998)
1998
Multi-peak bound states for nonlinear Schrödinger equations
Del Pino M; Felmer P; Ann. Inst. H. Poincaré Anal. Non Linéaire 15, no. 2, pp. 127-149. (1998)
1997
Local minimizers for the Ginzburg-Landau energy
Del Pino M; Felmer P; Math. Z. 225, no. 4, pp. 671-684. (1997)
1997
Semi-classical states for nonlinear Schrödinger equations
Del Pino M; Felmer P; J. Funct. Anal. 149, no. 1, pp. 245-265. (1997)
1997
On the short-time behavior of the free boundary of a porous medium equation
Cortázar C; Del Pino M; Elgueta M; Duke Math. J. 87, no. 1, pp. 133-149. (1997)
1997
On nonlinear parabolic equations of very fast diffusion
Daskalopoulos P; Del Pino M; Arch. Rational Mech. Anal. 137, no. 4, pp. 363-380. (1997)
1997
Localizing spike-layer patterns in singularly perturbed elliptic problems
Del Pino M; Felmer P; Proceedings of the International Conference on Asymptotics in Nonlinear Diffusive Systems (Sendai, 1997), 35-42.
1996
Local mountain passes for semilinear elliptic problems in unbounded domains
Del Pino M; Felmer P; Calc. Var. Partial Differential Equations 4, no. 2, pp. 121-137. (1996)
1996
Solutions of elliptic equations with indefinite nonlinearities via Morse theory and linking
Alama S; Del Pino M; Ann. Inst. H. Poincaré Anal. Non Linéaire 13, no. 1, pp. 95-115. (1996)
1996
Solvability of the Neumann problem in a ball for $-Delta u+usp {-v}= h(vert xvert )$, $v>1$
Del Pino M; Hernandez G; J. Differential Equations 124 , no. 1, pp. 108-131. (1996)
1996
Least energy solutions for elliptic equations in unbounded domains
Del Pino M; Felmer P; Proc. Roy. Soc. Edinburgh Sect. A 126, no. 1, pp. 195-208. (1996)
1995
Recent progress on super-diffusive nonlinear parabolic problems
Daskalopoulos P; Del Pino M; Reaction diffusion systems (Trieste, 1995), 107-119.
1995
F. $T$-periodic solutions for a second order system with singular nonlinearity
Del Pino M; Manasevich R; Differential Integral Equations 8, no. 7, pp. 1873-1883. (1995)
1995
On a singular diffusion equation
Daskalopoulos P; Del Pino M; Comm. Anal. Geom. 3, no. 3-4, pp. 523-542. (1995)
1995
Locally energy-minimizing solution of the Ginzburg-Landau equation
Del Pino M; Felmer P; C. R. Acad. Sci. Paris Sér. I Math. 321, no. 9, pp. 1207-1211. (1995)
1995
Multiple solutions for a semilinear elliptic equation
Del Pino M; Felmer P; Trans. Amer. Math. Soc. 347, no. 12, pp. 4839-4853. (1995)
1995
Radially symmetric internal layers in a semilinear elliptic system.
Del Pino M; Trans. Amer. Math. Soc. 347, no. 12, pp. 4807-4837. (1995)
1995
Nonexistence of signed solutions for a semilinear elliptic problem
Del Pino M; Differential Integral Equations 8 , no. 5, pp. 1259-1263. (1995)
1994
Positive solutions of a semilinear elliptic equation on a compact manifold
Del Pino M; Nonlinear Anal. 22, no. 11, pp. 1423-1430. (1994)
1994
On fast diffusion nonlinear heat equations and a related singular elliptic problem
Daskalopoulos P; del Pino, Manuel A. Indiana Univ. Math. J. 43, no. 2, pp. 703-728. (1994)
1994
A priori estimates and applications to existence-nonexistence for a semilinear elliptic system
Del Pino, Manuel A. Indiana Univ. Math. J. 43, no. 1, pp. 77-129. (1994)
1993
Infinitely many $T$-periodic solutions for a problem arising in nonlinear elasticity
Del Pino M; Manasevich R; J. Differential Equations 103, no. 2, 260-277. (1993)
1992
A global estimate for the gradient in a singular elliptic boundary value problem
Del Pino M; Proc. Roy. Soc. Edinburgh Sect. A 122, no. 3-4, pp. 341-352. (1992)
1992
Layers with nonsmooth interface in a semilinear elliptic problem
Del Pino M; Comm. Partial Differential Equations 17, no. 9-10, pp. 1695-1708. (1992)
1992
On the number of $2pi$ periodic solutions for $u +g(u)= s(1+h(t))$ using the Poincaré-Birkhoff theorem
Del Pino M; Manasevich R; Murúa A; J. Differential Equations 95, no. 2, pp. 240-258. (1992)
1992
$T$-periodic solutions for some second order differential equations with singularities
Del Pino M; Manasevich R; Montero, Alberto. Proc. Roy. Soc. Edinburgh Sect. A 120, no. 3-4, pp. 231-243. (1992)
1992
Existence and multiplicity of solutions with prescribed period for a second order quasilinear ODE
Del Pino M; Manasevich R; Murúa, Alejandro E. Nonlinear Anal. 18, no. 1, pp. 79-92. (1992)
1991
Global bifurcation from the eigenvalues of the $p$-Laplacian
Del Pino M; Manasevich R; J. Differential Equations 92, no. 2, pp. 226-251. (1991)
1991
Generalizing Hartman s oscillation result for $(vert x vert sp {p-2}x)+c(t)vert xvert sp {p-2}x= 0,;p>1$
Del Pino M; Elgueta M; Manasevich R; Houston J. Math. 17, no. 1, pp. 63-70. (1991)
1991
Existence for a fourth-order boundary value problem under a two-parameter nonresonance condition
Del Pino M; Manasevich R; Proc. Amer. Math. Soc. 112, no. 1, pp. 81-86. (1991)
1989
A homotopic deformation along $p$ of aLeray-Schauderdegreeresultandexistencefor$(vertu vertsp{p-2}u)+f(t,u)= 0,;u(0)= u(T)= 0,;p>1$
Del Pino M; Elgueta M; Manasevich R; J. Differential Equations 80, no. 1, pp. 1-13. (1989)
1988
Oscillation and nonoscillation for $(vert u vert sp {p-2}u ) +a(t)vert uvert sp {p-2}u= 0,;p>1$
Del Pino M; Manasevich R; Houston J. Math. 14, no. 2, pp. 173-177. (1988)
1987
Some nonlinear Sturmian theory for $(vert u vert sp {p-2}u ) +c(t)vert uvert sp {p-2}u= 0$
Del Pino M; Manasevich R; Differential equations, pp. 183-190 (Xanthi, 1987)


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