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Juan Diego Dávila Bonczos

Professor

Universidad de Chile

Santiago, Chile

Singular solutions; Supercritical equations; Nonlocal operators; Singular perturbations; Blowup in parabolic equations

Mathematics, RUTGERS UNIVERSITY. Estados Unidos, 2002
Mathematical Engineering, UNIVERSIDAD DE CHILE. Chile, 1997

Professor Full Time

UNIVERSIDAD DE CHILE

Facultad de Ciencias Fisicas y Matematicas

santiago, Chile

2011 - At present
Associate professor Full Time

UNIVERSIDAD DE CHILE

Facultad de Ciencias Fisicas y Matematicas

Santiago, Chile

2007 - 2011
Assistant professor Full Time

UNIVERSIDAD DE CHILE

Facultad de Ciencias Fisicas y Matematicas

Santiago, Chile

2002 - 2007

Faculty Full Time

Universidad de Chile

Santiago, Chile

2002 - At present

Ph.D. direction:

Luis Fernando López.
Doctorado en Ciencias de la Ingenieria, Mencion Modelamiento Matematico
(Ph.D. in Applied Mathematics)
Universidad de Chile. 2014.

Wenjing Chen.
Doctorado en Ciencias de la Ingenieria, Mencion Modelamiento Matematico
(Ph.D. in Applied Mathematics)
Universidad de Chile. 2013.

Mathematical Engineering direction:

Gustavo Esteban Navarro Sepúlveda.
Ingenieria Civil Matematico
(Mathematical Engineering)
Universidad de Chile. 2010.

Erwin Topp Paredes.
Ingenieria Civil Matematico
(Mathematical Engineering)
Universidad de Chile. 2008.

Hernán Castro Zúñiga.
Ingenieria Civil Matematico
(Mathematical Engineering)
Universidad de Chile. 2006.

Postdoc mentoring:

Qiuping Lu: 2010-2011)

Jorge Faya: 2015-2017

Marcos Orrego Puelma

INSTITUTO DE INGENIEROS DE CHILE

Chile, 1997

El Premio “Marcos Orrego Puelma” se otorga cada año al mejor alumno y mejor compañero entre los alumnos egresados de las Escuelas de Ingeniería de la Universidad de Chile, Católica de Chile, de Concepción, Federico Santa María, de Santiago de Chile, Diego Portales y Católica de Valparaíso.


Bubbling solutions for nonlocal elliptic problems López Ríos, Luis Article ISI SCOPUS REVISTA MATEMATICA IBEROAMERICANA (2017)
Finite topology self-translating surfaces for the mean curvature flow in R3 Nguyen, Xuan Hien Article SCOPUS Advances in Mathematics (2017)
New type of solutions to a slightly subcritical Henon type problem on general domains Faya, Jorge Article ISI SCOPUS Journal of Differential Equations (2017)
On the behavior of positive solutions of semilinear elliptic equations in asymptotically cylindrical domains Article ISI SCOPUS JOURNAL OF FIXED POINT THEORY AND APPLICATIONS (2017)
ON THE FRACTIONAL LANE-EMDEN EQUATION Article ISI SCOPUS TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (2017)
Theory of light-matter interaction in nematic liquid crystals and the second Painleve equation Kowalczyk, Micha?; Smyrnelis, Panayotis Article ISI SCOPUS CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2017)
Bubble tower solutions for a supercritical elliptic problem in RN Chen, Wenjing; Davila, Juan; Guerra, Ignacio Article SCOPUS ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE (2016)
Light-matter interaction induces a shadow vortex Article ISI SCOPUS PHYSICAL REVIEW E (2016)
Nonlocal Delaunay surfaces Davila J.; del Pino M.; Dipierro, S; Valdinoci, E Article ISI SCOPUS NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2016)
Qualitative analysis of rupture solutions for a MEMS problem Davila J.; Wang, KL; Wei, JC Article ISI SCOPUS ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE (2016)
SLOWLY DECAYING RADIAL SOLUTIONS OF AN ELLIPTIC EQUATION WITH SUBCRITICAL AND SUPERCRITICAL EXPONENTS Article ISI SCOPUS JOURNAL D ANALYSE MATHEMATIQUE (2016)
Solutions of the fractional Allen-Cahn equation which are invariant under screw motion Cinti, Eleonora Article ISI SCOPUS JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES (2016)
Bubbling solutions for supercritical problems on manifolds Davila J.; Pistoia, A; Vaira, G Article ISI SCOPUS Journal des Mathematiques Pures et Appliquees (2015)
CONCENTRATION PHENOMENA FOR THE NONLOCAL SCHRODINGER EQUATION WITH DIRICHLET DATUM Davila J.; del Pino M.; Dipierro, S; Valdinoci, E Article ISI SCOPUS Analysis and PDE (2015)
Nonlinear elliptic problem related to the Hardy inequality with singular term at the boundary Abdellaoui, B; Biroud, K; Davila J.; Mahmoudi, F Article ISI SCOPUS Communications in Contemporary Mathematics (2015)
A monotonicity formula and a Liouville-type theorem for a fourth order supercritical problem Davila J.; Dupaigne L; Wang, KL; Wei, JLC Article ISI SCOPUS ADVANCES IN MATHEMATICS (2014)
Concentrating standing waves for the fractional nonlinear Schrodinger equation Davila J.; del Pino M.; Wei, JC Article ISI JOURNAL OF DIFFERENTIAL EQUATIONS (2014)
PARTIAL REGULARITY FOR A LIOUVILLE SYSTEM Davila J.; Goubet, O. Article ISI DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2014)
A Hardy type inequality for W-0(m,1)(Omega) functions Castro H.; Davila J.; Wang H. Article ISI SCOPUS Journal of the European Mathematical Society (2013)
MULTIPLICITY AND SINGULAR SOLUTIONS FOR A LIOUVILLE-TYPE SYSTEM IN A BALL Davila J.; Flores I.; Guerra I. Article ISI SCOPUS ADVANCES IN DIFFERENTIAL EQUATIONS (2013)
Non-uniqueness of positive ground states of non-linear Schrodinger equations Davila J.; del Pino M.; Guerra I. Article ISI SCOPUS Proceedings of the London Mathematical Society (2013)
Nondegeneracy of the bubble in the critical case for nonlocal equations Sire Y. Article ISI SCOPUS Proceedings of the American Mathematical Society (2013)
On finite Morse index solutions of two equations with negative exponent Davila J.; Ye D. Article ISI SCOPUS Proceedings of the Royal Society of Edinburgh Section A: Mathematics (2013)
Pulsating fronts for nonlocal dispersion and KPP nonlinearity Coville J; Davila J.; Martinez S. Article ISI SCOPUS Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire (2013)
Regular solutions to a supercritical elliptic problem in exterior domains Davila J.; Lopez, LF Article ISI SCOPUS JOURNAL OF DIFFERENTIAL EQUATIONS (2013)
Resonance phenomenon for a Gelfand-type problem Chen W.J.; Davila J. Article ISI SCOPUS NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2013)
Concentrating solutions of the Liouville equation with Robin boundary condition Davila J.; Topp E. Article ISI SCOPUS JOURNAL OF DIFFERENTIAL EQUATIONS (2012)
Concentration for an elliptic equation with singular nonlinearity Davila J.; Montenegro M. Article ISI SCOPUS Journal des Mathematiques Pures et Appliquees (2012)
Evolutionary stability of ideal free nonlocal dispersal Cosner, C; Davila J.; Martinez S. Article ISI SCOPUS Journal of Biological Dynamics (2012)
Point Ruptures for a MEMS Equation with Fringing Field Davila J.; Wei J. Article ISI SCOPUS Communications in Partial Differential Equations (2012)
A Hardy type inequality for W-0(2,1) (Omega) functions Castro H.; Davila J.; Wang H. Article ISI SCOPUS Comptes Rendus Mathematique (2011)
Bistable Boundary Reactions in Two Dimensions Davila J.; del Pino M.; Musso M. Article ISI SCOPUS Archive for Rational Mechanics and Analysis (2011)
EXISTENCE OF RADIAL STATIONARY SOLUTIONS FOR A SYSTEM IN COMBUSTION THEORY Coville J; Davila J. Article ISI SCOPUS Discrete and Continuous Dynamical Systems - Series B (2011)
Nonlinear elliptic problems with a singular weight on the boundary Davila J.; Peral, I Article ISI SCOPUS Calculus of Variations and Partial Differential Equations (2011)
Partial regularity of finite Morse index solutions to the Lane-Emden equation Davila J.; Dupaigne L; Farina A. Article ISI SCOPUS Journal of Functional Analysis (2011)
Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations Capella, A; Davila J.; Dupaigne L; Sire Y. Article ISI SCOPUS Communications in Partial Differential Equations (2011)
Multiplicity of solutions for a fourth order equation with power-type nonlinearity Davila J.; Flores I.; Guerra I. Article ISI SCOPUS Mathematische Annalen (2010)
Boundary blow-up solutions of cooperative systems Davila J.; Dupaigne L; Goubet, O.; Martinez S. Article ISI SCOPUS ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE (2009)
Multiplicity of solutions for a fourth order problem with exponential nonlinearity Davila J.; Flores I.; Guerra I. Article ISI SCOPUS JOURNAL OF DIFFERENTIAL EQUATIONS (2009)
Radial solutions of an elliptic equation with singular nonlinearity Davila J.; Montenegro M. Article ISI SCOPUS JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2009)
Chapter 2 Singular solutions of semi-linear elliptic problems Davila J. Article SCOPUS Handbook of Differential Equations: Stationary Partial Differential Equations (2008)
Critical points of the regular part of the harmonic Green function with Robin boundary condition Davila J.; Kowalczyk M.; Montenegro M. Article ISI SCOPUS JOURNAL OF FUNCTIONAL ANALYSIS (2008)
Existence and uniqueness of solutions to a nonlocal equation with monostable nonlinearity Coville J; Davila J.; Martinez S. Article ISI SCOPUS SIAM JOURNAL ON MATHEMATICAL ANALYSIS (2008)
Fast and slow decay solutions for supercritical elliptic problems in exterior domains Davila J.; del Pino M.; Musso M.; Wei, JC Article ISI SCOPUS CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2008)
Nonlocal anisotropic dispersal with monostable nonlinearity Coville J; Davila J.; Martinez S. Article ISI SCOPUS JOURNAL OF DIFFERENTIAL EQUATIONS (2008)
The extremal solution of a boundary reaction problem Davila J.; Dupaigne L; Montenegro M. Article ISI SCOPUS COMMUNICATIONS ON PURE AND APPLIED ANALYSIS (2008)
Perturbing singular solutions of the Gelfand problem Davila J.; Dupaigne L Article ISI SCOPUS Communications in Contemporary Mathematics (2007)
Stable solutions for the bilaplacian with exponential nonlinearity Davila J.; Dupaigne L; Guerra I.; Montenegro M. Article ISI SCOPUS SIAM JOURNAL ON MATHEMATICAL ANALYSIS (2007)
Standing waves for supercritical nonlinear Schrodinger equations Davila J.; del Pino M.; Musso M.; Wei, JC Article ISI SCOPUS JOURNAL OF DIFFERENTIAL EQUATIONS (2007)
The supercritical Lane-Emden-Fowler equation in exterior domains Davila J.; del Pino M.; Muss, M Article ISI SCOPUS COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS (2007)
Singular limits of a two-dimensional boundary value problem arising in corrosion modelling Davila J.; del Pino M.; Musso M.; Wei, JC Article ISI SCOPUS ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2006)
Concentrating solutions in a two-dimensional elliptic problem with exponential Neumann data Davila J.; del Pino M.; Musso M. Article ISI SCOPUS JOURNAL OF FUNCTIONAL ANALYSIS (2005)
Existence and asymptotic behavior for a singular parabolic equation Davila J.; Montenegro M. Article ISI SCOPUS TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (2005)
Nonlinear problems with solutions exhibiting a free boundary on the boundary Davila J.; Montenegro M. Article ISI SCOPUS ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE (2005)
Numerical analysis of stochastic differential equations with explosions Davila J.; Bonder, JF; Rossi J.D.; Groisman, P; Sued, M Article ISI SCOPUS STOCHASTIC ANALYSIS AND APPLICATIONS (2005)
Global regularity for a singular equation and local H-1 minimizers of a nondifferentiable functional Davila J. Article ISI SCOPUS Communications in Contemporary Mathematics (2004)
Hardy-type inequalities Davila J.; Dupaigne L Article ISI SCOPUS Journal of the European Mathematical Society (2004)
Self-similar solutions of the porous medium equation in a half-space with a nonlinear boundary condition: existence and symmetry Davila J.; Rossi J.D. Article ISI SCOPUS JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2004)
Comparison results for PDEs with a singular potential Davila, Juan; Dupaigne, Louis Article PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS (2003)
Lifting of BV functions with values in S-1 Davila J.; Ignat, R Article ISI SCOPUS COMPTES RENDUS MATHEMATIQUE (2003)
Positive versus free boundary solutions to a singular elliptic equation Davila, Juan; Montenegro, Marcelo Article JOURNAL D ANALYSE MATHEMATIQUE (2003)
VarianVariants of Kato's inequality and removable singularities Davila, Juan; Ponce, Augusto Article JOURNAL D ANALYSE MATHEMATIQUE (2003)
On an open question about functions of bounded variation Article CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2002)
A nonlinear elliptic equation with rapidly oscillating boundary conditions Article ASYMPTOTIC ANALYSIS (2001)
A Strong Maximum Principle for the Laplace Equation with Mixed Boundary Condition Article Journal of Functional Analysis (2001)
Some extremal singular solutions of a nonlinear elliptic equation Article Differential and Integral Equations (2001)


Singular solutions of semi-linear elliptic problems BookSection (2008)


Holder estimates for solutions to a singular nonlinear Neumann problem Davila J.; Montenegro M. ConferencePaper ISI Elliptic and Parabolic Problems: A SPECIAL TRIBUTE TO THE WORK OF HAIM BREZIS (2005)


Millenium Nucleus Center for Partial Differential Equations del Pino, Manuel; Quaas,Alexander Proyecto (2015)
Concentration analysis for singular equations and fractional operators Proyecto (2013)
Center for Analysis of partial differential equations Felmer, Patricio; del Pino, Manuel Proyecto (2010)
Nonlinear elliptic problems and singularities Proyecto (2009)
Singular partial differential equations and connections with hardy-sobolev inequalities Proyecto (2005)