Man

Juan Diego Dávila Bonczos

Professor

Universidad de Chile

Santiago, Chile

Líneas de Investigación


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

Educación

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

Experiencia Académica

  •   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

Experiencia Profesional

  •   Faculty Full Time

    Universidad de Chile

    Santiago, Chile

    2002 - At present

Formación de Capital Humano


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


Premios y Distinciones

  •   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.


 

Article (66)

Bubbling solutions for nonlocal elliptic problems
Finite topology self-translating surfaces for the mean curvature flow in R3
New type of solutions to a slightly subcritical Henon type problem on general domains
On the behavior of positive solutions of semilinear elliptic equations in asymptotically cylindrical domains
ON THE FRACTIONAL LANE-EMDEN EQUATION
Theory of light-matter interaction in nematic liquid crystals and the second Painleve equation
Bubble tower solutions for a supercritical elliptic problem in RN
Light-matter interaction induces a shadow vortex
Nonlocal Delaunay surfaces
Qualitative analysis of rupture solutions for a MEMS problem
SLOWLY DECAYING RADIAL SOLUTIONS OF AN ELLIPTIC EQUATION WITH SUBCRITICAL AND SUPERCRITICAL EXPONENTS
Solutions of the fractional Allen-Cahn equation which are invariant under screw motion
Bubbling solutions for supercritical problems on manifolds
CONCENTRATION PHENOMENA FOR THE NONLOCAL SCHRODINGER EQUATION WITH DIRICHLET DATUM
Nonlinear elliptic problem related to the Hardy inequality with singular term at the boundary
A monotonicity formula and a Liouville-type theorem for a fourth order supercritical problem
Concentrating standing waves for the fractional nonlinear Schrodinger equation
PARTIAL REGULARITY FOR A LIOUVILLE SYSTEM
A Hardy type inequality for W-0(m,1)(Omega) functions
MULTIPLICITY AND SINGULAR SOLUTIONS FOR A LIOUVILLE-TYPE SYSTEM IN A BALL
Non-uniqueness of positive ground states of non-linear Schrodinger equations
Nondegeneracy of the bubble in the critical case for nonlocal equations
On finite Morse index solutions of two equations with negative exponent
Pulsating fronts for nonlocal dispersion and KPP nonlinearity
Regular solutions to a supercritical elliptic problem in exterior domains
Resonance phenomenon for a Gelfand-type problem
Concentrating solutions of the Liouville equation with Robin boundary condition
Concentration for an elliptic equation with singular nonlinearity
Evolutionary stability of ideal free nonlocal dispersal
Point Ruptures for a MEMS Equation with Fringing Field
A Hardy type inequality for W-0(2,1) (Omega) functions
Bistable Boundary Reactions in Two Dimensions
EXISTENCE OF RADIAL STATIONARY SOLUTIONS FOR A SYSTEM IN COMBUSTION THEORY
Nonlinear elliptic problems with a singular weight on the boundary
Partial regularity of finite Morse index solutions to the Lane-Emden equation
Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations
Multiplicity of solutions for a fourth order equation with power-type nonlinearity
Boundary blow-up solutions of cooperative systems
Multiplicity of solutions for a fourth order problem with exponential nonlinearity
Radial solutions of an elliptic equation with singular nonlinearity
Chapter 2 Singular solutions of semi-linear elliptic problems
Critical points of the regular part of the harmonic Green function with Robin boundary condition
Existence and uniqueness of solutions to a nonlocal equation with monostable nonlinearity
Fast and slow decay solutions for supercritical elliptic problems in exterior domains
Nonlocal anisotropic dispersal with monostable nonlinearity
The extremal solution of a boundary reaction problem
Perturbing singular solutions of the Gelfand problem
Stable solutions for the bilaplacian with exponential nonlinearity
Standing waves for supercritical nonlinear Schrodinger equations
The supercritical Lane-Emden-Fowler equation in exterior domains
Singular limits of a two-dimensional boundary value problem arising in corrosion modelling
Concentrating solutions in a two-dimensional elliptic problem with exponential Neumann data
Existence and asymptotic behavior for a singular parabolic equation
Nonlinear problems with solutions exhibiting a free boundary on the boundary
Numerical analysis of stochastic differential equations with explosions
Global regularity for a singular equation and local H-1 minimizers of a nondifferentiable functional
Hardy-type inequalities
Self-similar solutions of the porous medium equation in a half-space with a nonlinear boundary condition: existence and symmetry
Comparison results for PDEs with a singular potential
Lifting of BV functions with values in S-1
Positive versus free boundary solutions to a singular elliptic equation
VarianVariants of Kato's inequality and removable singularities
On an open question about functions of bounded variation
A nonlinear elliptic equation with rapidly oscillating boundary conditions
A Strong Maximum Principle for the Laplace Equation with Mixed Boundary Condition
Some extremal singular solutions of a nonlinear elliptic equation

BookSection (1)

Singular solutions of semi-linear elliptic problems

ConferencePaper (1)

Holder estimates for solutions to a singular nonlinear Neumann problem

Proyecto (5)

Millenium Nucleus Center for Partial Differential Equations
Concentration analysis for singular equations and fractional operators
Center for Analysis of partial differential equations
Nonlinear elliptic problems and singularities
Singular partial differential equations and connections with hardy-sobolev inequalities
73
Juan Dávila

Professor

Departamento de Ingenieria Matematica

Universidad de Chile

Santiago, Chile

12
Manuel Del Pino

Professor

DEPARTAMENTO DE INGENIERIA MATEMATICA Y CMM UNIVERSIDAD DE CHILE

Santiago, Chile

5
Salome Martinez

Profesora Titular U. de Chile, Directora del Laboratorio de Educación Matemática del Centro de Modelamiento Matemático

Center for Mathematical Modeling

Universidad de Chile

Santiago, Chile

5
Ignacio Guerra

UNIVERSIDAD DE SANTIAGO DE CHILE

Santiago, Chile

3
Isabel Flores

Academic

Maths

Universidad Técnica Federico Santa María

Santiago, Chile

2
Hernán Castro

Profesor Asistente

Universidad de Talca

Talca, Chile

2
Michal Kowalczyk

Professor Titular

Ingeniería Matemática

Universidad de Chile

Santiago, Chile

1
Fethi Mahmoudi

Associate researcher

UNIVERSIDAD DE CHILE

Santiago, Chile

1
Monica Musso

PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE

Santiago, Chile

1
Marcel Clerc

Full professor

Department of Physics

Universidad de Chile

Santiago, Chile

1
Erwin Topp

Profesor Asistente

Universidad de Santiago de Chile

Santiago, Chile