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Manuel Adrián Del Pino Manresa

Professor

DEPARTAMENTO DE INGENIERIA MATEMATICA Y CMM UNIVERSIDAD DE CHILE

Santiago, Chile

Líneas de Investigación


Partial Differential Equations; Variational Methods; Differential Geometry; Nonlinear Partial Differential Equations

Educación

  •  Mathematics, University of Minnesota. Estados Unidos, 1992
  •  Ingeniero Civil Matematico, UNIVERSIDAD DE CHILE. Chile, 1987

Experiencia Académica

  •   Professor Full Time

    UNIVERSIDAD DE CHILE

    FCFM

    Santiago, Chile

    1996 - At present

  •   Instructor Full Time

    University of Chicago

    Chicago, Estados Unidos

    1993 - 1995


 

Article (129)

Catenoidal Layers for the Allen-Cahn Equation in Bounded Domains
On the behavior of positive solutions of semilinear elliptic equations in asymptotically cylindrical domains
Higher-Dimensional Catenoid, Liouville Equation, and Allen-Cahn Equation
Nonlocal Delaunay surfaces
CONCENTRATION PHENOMENA FOR THE NONLOCAL SCHRODINGER EQUATION WITH DIRICHLET DATUM
Intermediate reduction method and infinitely many positive solutions of nonlinear Schrodinger equations with non-symmetric potentials
Large conformal metrics with prescribed sign-changing Gauss curvature
Nontopological Condensates for the Self-Dual Chern-Simons-Higgs Model
SERRIN'S OVERDETERMINED PROBLEM AND CONSTANT MEAN CURVATURE SURFACES
Solutions with multiple catenoidal ends to the Allen-Cahn equation in R-3
Bubbling on boundary submanifolds for the Lin-Ni-Takagi problem at higher critical exponents
Concentrating standing waves for the fractional nonlinear Schrodinger equation
ENTIRE SOLUTIONS OF THE ALLEN-CAHN EQUATION AND COMPLETE EMBEDDED MINIMAL SURFACES OF FINITE TOTAL CURVATURE IN R-3
MODULI SPACE THEORY FOR THE ALLEN-CAHN EQUATION IN THE PLANE
Non-uniqueness of positive ground states of non-linear Schrodinger equations
Nondegeneracy of the bubble in the critical case for nonlocal equations
The Euclidean Onofri Inequality in Higher Dimensions
Torus action on S-n and sign-changing solutions for conformally invariant equations
Torus action on Sn and sign-changing solutions for conformally invariant equations
Traveling Waves with Multiple and Nonconvex Fronts for a Bistable Semilinear Parabolic Equation
Beyond the Trudinger-Moser supremum
Nondegeneracy of entire solutions of a singular liouvillle equation
On De Giorgi's conjecture and beyond
Solutions of the Allen-Cahn equation which are invariant under screw-motion
Bistable Boundary Reactions in Two Dimensions
Large energy entire solutions for the Yamabe equation
On De Giorgi's conjecture in dimension N >= 9
Solutions to the Allen Cahn Equation and Minimal Surfaces
A logarithmic Hardy inequality
Bubbling along boundary geodesics near the second critical exponent
INTERFACE FOLIATION NEAR MINIMAL SUBMANIFOLDS IN RIEMANNIAN MANIFOLDS WITH POSITIVE RICCI CURVATURE
Multiple-end solutions to the Allen-Cahn equation in R-2
New solutions for Trudinger-Moser critical equations in R-2
Relative Equilibria in Continuous Stellar Dynamics
THE JACOBI-TODA SYSTEM AND FOLIATED INTERFACES
The Toda system and multiple-end solutions of autonomous planar elliptic problems
Two-dimensional euler flows with concentrated vorticities
ENTIRE SOLUTIONS OF THE ALLEN-CAHN EQUATION AND COMPLETE EMBEDDED MINIMAL SURFACES
A counterexample to a conjecture by De Giorgi in large dimensions
Fast and slow decay solutions for supercritical elliptic problems in exterior domains
Renormalized energy of interacting Ginzburg-Landau vortex filaments
Supercritical elliptic problems from a perturbation viewpoint
The Toda system and clustering interfaces in the Allen-Cahn equation
Boundary singularities for weak solutions of semilinear elliptic problems
Concentration on curves for nonlinear Schrodinger equations
Ground states of a prescribed mean curvature equation
Standing waves for supercritical nonlinear Schrodinger equations
Supercritical elliptic problems in domains with small holes
The supercritical Lane-Emden-Fowler equation in exterior domains
Type II collapsing of maximal solutions to the Ricci flow in R-2
Chapter 3 Bubbling in nonlinear elliptic problems near criticality
Collapsing steady states of the Keller-Segel system
Multiple bubbling for the exponential nonlinearity in the slightly supercritical case
Nodal bubble-tower solutions to radial elliptic problems near criticality
Nonlinear elliptic problems above criticality
Resonance and interior layers in an inhomogeneous phase transition model
Singular limits of a two-dimensional boundary value problem arising in corrosion modelling
The two-dimensional Lazer-McKenna conjecture for an exponential nonlinearity
Variational reduction for Ginzburg-Landau vortices
Concentrating solutions in a two-dimensional elliptic problem with exponential Neumann data
Nonlinear Schrodinger equations: concentration on weighted geodesics in the semi-classical limit
Singular limits in Liouville-type equations
Super-critical boundary bubbling in a semilinear Neumann problem
A phase plane analysis of the "multi-bubbling" phenomenon in some slightly supercritical equations
Minimality and nondegeneracy of degree-one Ginzburg-Landau vortex as a Hardy's type inequality
Multiple solutions for a non-homogeneous elliptic equation at the critical exponent
Nonlinear diffusions, hypercontractivity and the optimal L-P-Euclidean logarithmic Sobolev inequality
The Brezis-Nirenberg problem near criticality in dimension 3
Asymptotic behavior of nonlinear diffusions
Bubble-tower radial solutions in the slightly supercritical Brezis-Nirenberg problem
Local bifurcation from the second eigenvalue of the Laplacian in a square
Multi-bubble solutions for slightly super-critical elliptic problems in domains with symmetries
Multi-bump ground states of the Gierer-Meinhardt system in R-2
Multiple boundary blow-up solutions for nonlinear elliptic equations
The optimal Euclidean L-p-Sobolev logarithmic inequality
Two-bubble solutions in the super-critical Bahri-Coron's problem
An elementary construction of complex patterns in nonlinear Schrodinger equations
Asymptotics of Sobolev embeddings and singular perturbations for the p-Laplacian
Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions
Boundary spikes in the Gierer-Meinhardt system
Multi-peak solutions for super-critical elliptic problems in domains with small holes
Nonlinear diffusions and optimal constants in Sobolev type inequalities: asymptotic behaviour of equations involving the p-Laplacian
Nonradial solvability structure of super-diffusive nonlinear parabolic equations
Semi-classical states of nonlinear Schrodinger equations: a variational reduction method
The influence of domain geometry in boundary blow-up elliptic problems
Uniqueness and stability of regional blow-up in a porous-medium equation
Asymptotic behavior of best constants and extremals for trace embeddings in expanding domains
On the extinction profile for solutions of ut = ?u(N-2)/(N+2)
The Gierer & Meinhardt system: The breaking of homoclinics and multi-bump ground states
Boundary concentration for eigenvalue problems related to the onset of superconductivity
Ground states of semilinear elliptic equations: a geometric approach
Multi-peak solutions for some singular perturbation problems
On the role of mean curvature in some singularly perturbed Neumann problems
Positive solutions of elliptic equations in ?N with a super-subcritical nonlinearity Solutions positives d'éuations elliptiques dans ?N avec non-linéarité super-sous-critique
Positive solutions of elliptic equations in R-N with a super-subcritical nonlinearity
Spike-layered Solutions of Singularly Perturbed Elliptic Problems in a Degenerate Setting
On the Cauchy problem for $u_t =\Delta\log u$ in higher dimensions
The Fredholm Alternative at the First Eigenvalue for the One Dimensionalp-Laplacian
The problem of uniqueness of the limit in a semilinear heat equation
Existence of positive bound states of nonlinear Schrödinger equations with saddle-like potential
Multi-peak bound states for nonlinear Schrödinger equations
The Fredholm alternative at the first eigenvalue for the one-dimensional p-Laplacian
Local minimizers for the Ginzburg-Landau energy
medium equation
On Nonlinear Parabolic Equations of Very Fast Diffusion
Semi-classical States for Nonlinear Schrödinger Equations
Least energy solutions for elliptic equations in unbounded domains
Local mountain passes for semilinear elliptic problems in unbounded domains
Solutions of elliptic equations with indefinite nonlinearities via Morse theory and linking
Solvability of the Neumann Problem in a Ball for −δu+u−v=h(|x|),v>1
T-periodic solutions for a second order system with singular nonlinearity
Locally energy-minimizing solution of the Ginzburg-Landau equation.
Multiple Solutions for a Semilinear Elliptic Equation
Nonexistence of signed solutions for a semilinear elliptic problem. Differential Integral Equations
On a singular diffusion equation
Radially Symmetric Internal Layers in a Semilinear Elliptic System
A priori estimates and applications to existence-nonexistence for a semilinear elliptic system.
On Fast Diffusion Nonlinear Heat Equations and a Related Singular Elliptic Problem
Nonexistence of signed solutions for a semilinear elliptic problem.
Positive solutions of a semilinear elliptic equation on a compact manifold
Infinitely Many T-Periodic Solutions for a Problem Arising in Nonlinear Elasticity
A global estimate for the gradient in a singular elliptic boundary value problem
Existence and multiplicity of solutions with prescribed period for a second order quasilinear O.D.E.
Layers With Nonsmooth Interface in a Semilinear Elliptic Problem
On the number of 2π periodic solutions for u″ + g(u) = s(1 + h(t)) using the Poincaré-Birkhoff theorem
Existence for a Fourth-Order Boundary Value Problem under a Two-Parameter Nonresonance Condition
Multiple Solutions for the p-Laplacian Under Global Nonresonance
A homotopic deformation along p of a Leray-Schauder degree result and existence for (¦u′¦p − 2u′)′ + ƒ(t, u) = 0, u(0) = u(T) = 0, p > 1
T-periodic solutions for a second order system with singular nonlinearity.

ConferencePaper (4)

On a conjecture by De Giorgi in dimensions 9 and higher
Bubbling and criticality in two and higher dimensions
A phase plane analysis of the multi-bubbling" phenomenon in some slightly supercritical equations"
Spike patterns in the super-critical Bahri-Coron problem

Errata (1)

Two-bubble solutions in the super-critical Bahri-Coron's problem (vol 16, pg 113, 2003)

Proyecto (6)

GEOMETRIC ASYMPTOTIC PATTERNS IN NONLINEAR ELLIPTIC AND PARABOLIC PROBLEMS. FONDECYT REGULAR 1150066
Millenium Nucleus Center for the Analysis of Partial Differential Equations (CAPDE)
ASYMPTOTIC PATTERNS IN NONLINEAR ELLIPTIC AND PARABOLIC PROBLEMS. FONDECYT REGULAR 1110181
SINGULAR LIMITS IN NONLINEAR ELLIPTIC PROBLEMS, 1070389 FONDECYT REGULAR
CONCENTRATION PHENOMENA IN NONLINEAR ELLIPTIC PROBLEMS. FONDECYT REGULAR 1030840
ANILLO Center for the Analysis of Partial Differential Equations (CAPDE) ACT 125
140
Manuel Del Pino

Professor

DEPARTAMENTO DE INGENIERIA MATEMATICA Y CMM UNIVERSIDAD DE CHILE

Santiago, Chile

22
Michal Kowalczyk

Professor Titular

Ingeniería Matemática

Universidad de Chile

Santiago, Chile

20
Patricio Felmer

Full Professor

Ingeniería Matemática

Universidad de Chile

Santiago, Chile

12
Juan Dávila

Professor

Departamento de Ingenieria Matematica

Universidad de Chile

Santiago, Chile

9
Monica Musso

PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE

Santiago, Chile

3
Isabel Flores

Academic

Maths

Universidad Técnica Federico Santa María

Santiago, Chile

2
César Flores

Assistant Professor

Mathematics

Universidad de Concepción

Concepción, Chile

2
Ignacio Guerra

UNIVERSIDAD DE SANTIAGO DE CHILE

Santiago, Chile

1
Mariel Sáez

Profesora Asociada

Matematicas

PONTIFICIA UNIVERSIDAD CATÓLICA DE CHILE

Santiago, Chile

1
Fethi Mahmoudi

Associate researcher

UNIVERSIDAD DE CHILE

Santiago, Chile

1
Carlos Román

Profesor Asistente

Departamento de Matemáticas e Instituto de Ingeniería Matemática y Computacional

Pontificia Universidad Católica de Chile

Santiago, Chile