Man

MARTA EUGENIA GARCIA-HUIDOBRO CAMPOS

Profesora Titular

PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE

SANTIAGO, Chile

Líneas de Investigación


Problemas de valores en la frontera en ecuaciones diferenciales, ecuaciones diferenciales no lineales, Analisis.

Educación

  •  Matemáticas, PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE. Chile, 1981
  •  Ciencias Exactas, PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE. Chile, 1983
  •  Ciencias, PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE. Chile, 1988

Experiencia Académica

  •   Profesora Asistente Full Time

    PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE

    Matemáticas

    Santiago, Chile

    1980 - 1990

  •   Profesora Asociada Full Time

    PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE

    Matemáticas

    Santiago, Chile

    1990 - 2006

  •   Profesora Titular Full Time

    PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE

    Facultad de Matematicas

    Chile

    2006 - At present

Experiencia Profesional

  •   Profesora titular Full Time

    Pontificia Universidad Católica de Chile

    Santiago, Chile

    2006 - At present

  •   Miembro del Grupo de Estudio de Matemáticas2007-2009. Other

    Fondecyt

    Santiago, Chile

    2007 - 2009

  •   Directora de Docencia Full Time

    Facultad de matemáticas, Pontificia Universidad Catolica de Chile

    Chile

    2004 - 2006

  •   Directora de Investigación y Post-Grado Full Time

    Facultad de Matemáticas, Pontificia Universidad Catolica de Chile

    Chile

    2007 - 2008

  •   Miembro comité científico Programa Mathamsud Part Time

    Conicyt

    Chile

    2014 - 2016

  •   Miembro comité directivo Programa Mathamsud Other

    Conicyt

    Chile

    2017 - At present

Formación de Capital Humano


-Directora de tesis para Natham Aguirre Quiñonez. Doctorado en Matemáticas, Pontificia Universidad Católica de Chile, 2015-.

-Directora de tesis para José Ignacio Harismendy Magister en Matemáticas, Pontificia Universidad Católica de Chile, 2015-16.

-Patrocinio Post-Doc para NGUYEN , TAI PHUOC, Fondecyt Postdoctorado 3160207, 2016-2018. Boundary singularities of solutions to nonlinear elliptic equations and related problems.

-Patrocinio Post-Doc para Shengbing Deng, Fondecyt Postdoctorado 3140403, 2014-2016. Concentration phenomena of solutions to some elliptic problems.

-Directora de tesis para Valeria Sáez Gómez. Title: Sobre la unicidad de soluciones segundo bound state de una ecuación nolineal. Magister en Ciencias Matemáticas, Universidad de Chile, 2011.

Directora de tesis para María Gabriela López Urra. Title: Soluciones positivas para sistemas de ecuaciones con operadores de tipo p-laplaciano. Magister en Ciencias Matemáticas, Universidad de Chile, 2010.

-Directora de tesis para Duván Henao Manrique. Title: Sobre la unicidad de soluciones radiales positivas de $\Delta_p u +K(|x|)f(u)=0$, el caso superlineal. Magister en Ciencias Exactas, mención Matemáticas, Pontificia Universidad Católica de Chile, 2006.

-Patrocinio Post-Doc para Isabel Flores, (Fondecyt 3010044) 2001-2003.
Geometric methods for the study of second
order differential equations.


Difusión y Transferencia


-Organizadora habitual de sesiones en Ecuaciones Diferenciales para las AIMS Conference on Dynamical Systems, Differential Equations and Applications.

Participación en la difusión de resultados en las siguientes conferencias (últimos cinco años):

-12Th Americas Conference On Differential Equations And Nonlinear Analysis (Americas Xii), Guanajuato, Mexico, Plenary talk: Ground States And A-Priori Bounds For Solutions Of Nonlinear Elliptic Equations Involving A Gradient Term.

-Equadiff 2019, Leiden, The Netherlands, July 8-12, Invited talk: Radial Solutions Of Scaling Invariant Nonlinear Elliptic Equations With Mixed Reaction Terms

-The 12Th Aims Conference On Dynamical Systems, Differential Equations And Applications, Taipei, Taiwan, July 4-9, Invited talk: Some Results Concerning The Uniqueness Of Sign Changing Bound State Solutions Of A Weighted Semilinear Equation.

- Equadiff 2017, Bratislava, Eslovaquia, July 24-28, Invited talk: Boundary Singularities Of Positive Solutions To The Quasilinear Equation $-\delta_P U+|\nabla U|^q=0$,

-3rd Sino-Chilean Conference on nonlinear partial differential equations and nonlinear analysis, Dec5-13 2016, Invited talk:
Boundary singularities of positive solutions to the quasilinear equation
$-\Delta_p u+|\nabla u|^q=0$ .

- The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications,
Orlando, Florida, USA July 1 - 5, 2016. Invited talk.

- Equadiff 2015, Lyon, France, July 6 - 11, 2015. Multiplicity results for sign changing bound
state solutions of a semilinear equation.

- International Congress of Women Mathematicians 2014, August 12 and 14, 2014, Seoul,
Korea. Convergence to a steady state for a non-autonomous semilinear heat equation.

- Nonlinear Analysis Plzen 2013, Plzen, Czech Republic, August 22 - 24, 2013. On the convergence
to a steady state for a non-autonomous semilinear heat equation on RN.

- Mathematical Congress of the Americas 2013. Guanajuato, Mexico, August 5 - 9, 2013
Invited talk: Convergence to a steady state for a non-autonomous semilinear heat equation.

- The 9th AIMS Conference on Dynamical Systems, Differential Equations and Applications,
Orlando, Florida, USA July 1 - 5, 2012. Charla invitada: Boundary blow up of nonnegative
solutions of some elliptic systems.

- Workshop on Nonlinear Partial Differential Equations on the occasion of the sixtieth birthday
of Patrizia Pucci, Perugia, 28 May - 1 June 2012. Charla invitada: On the existence and
uniqueness of certain bound state solutions of a quasilinear elliptic equation



 

Article (56)

Periodic solutions for nonlinear systems of ODE's with generalized variable exponents operators
Elliptic Hamilton-Jacobi systems and Lane-Emden Hardy-Hénon equations
Multiplicity results for ground state solutions of a semilinear equation via abrupt changes in magnitude of the nonlinearity
Boundary singular solutions of a class of equations with mixed absorption-reaction
Singular solutions of some elliptic equations involving mixed absorption-reaction.
Measure data problems for a class of elliptic equations with mixed absorption-reaction
INTERPOLATION INEQUALITIES IN W-1,W-p(S-1) AND CARRE DU CHAMP METHODS
Interpolation inequalities in W1,p(????1) and carré du champ methods.
Interpolation inequalities in W1,p(S1) and carré du champ methods
Positive Solutions for Systems of Quasilinear Equations with Non-homogeneous Operators and Weights
RADIAL SOLUTIONS OF SCALING INVARIANT NONLINEAR ELLIPTIC EQUATIONS WITH MIXED REACTION TERMS
A priori estimates for elliptic equations with reaction terms involving the function and its gradient
ESTIMATES OF SOLUTIONS OF ELLIPTIC EQUATIONS WITH A SOURCE REACTION TERM INVOLVING THE PRODUCT OF THE FUNCTION AND ITS GRADIENT
ON THE UNIQUENESS OF BOUND STATE SOLUTIONS OF A SEMILINEAR EQUATION WITH WEIGHTS
Separable infinity harmonic functions in cones
Boundary singularities of positive solutions of quasilinear Hamilton-Jacobi equations
Multiplicity results for sign changing bound state solutions of a semilinear equation
On the Uniqueness of the Limit for an Asymptotically Autonomous Semilinear Equation on DOUBLE-STRUCK CAPITAL R- N
Existence of sign changing solutions for an equation with a weighted p-Laplace operator
Local and global properties of solutions of quasilinear Hamilton-Jacobi equations
Solvability of a nonlinear Neumann problem for systems arising from a burglary model
Existence of solutions for a 1-D boundary value problem coming from a model for burglary
KELLER-OSSERMAN ESTIMATES FOR SOME QUASILINEAR ELLIPTIC SYSTEMS
On the existence of sign changing bound state solutions of a quasilinear equation
Qualitative Properties and Existence of Sign Changing Solutions with Compact Support for an Equation with a p-Laplace Operator
Quasilinear elliptic Hamilton-Jacobi equations on complete manifolds
LARGE SOLUTIONS OF ELLIPTIC SYSTEMS OF SECOND ORDER AND APPLICATIONS TO THE BIHARMONIC EQUATION
Existence of singular solutions for a Dirichlet problem containing a Dirac mass
On the uniqueness of sign changing bound state solutions of a semilinear equation
Backward Blow-up Estimates and Initial Trace for a Parabolic System of Reaction-Diffusion
ON QUASILINEAR BREZIS-NIRENBERG TYPE PROBLEMS WITH WEIGHTS
On semilinear elliptic problems involving critical exponents
On the uniqueness of the second bound state solution of a semilinear equation
PERIODIC SOLUTIONS AND ASYMPTOTIC BEHAVIOR IN LIENARD SYSTEMS WITH p-LAPLACIAN OPERATORS
Positive solutions for a class of equations with a p-Laplace like operator and weights
POSITIVE SOLUTIONS FOR EQUATIONS AND SYSTEMS WITH p-LAPLACE-LIKE OPERATORS
Behavior of positive unbounded solutions for a class of nonhomogeneous p-Laplacian like equations
On the uniqueness of positive solutions of a quasilinear equation containing a weighted p-Laplacian, the superlinear case
Some multipoint boundary value problems of Neumann-Dirichlet type involving a multipoint p-Laplace like operator
Vector p-laplacian like operators, pseudo-eigenvalues, and bifurcation
On regions of existence and nonexistence of solutions for a system of p-q-Laplacians
On the uniqueness of ground state solutions of a semilinear equation containing a weighted Laplacian
Qualitative properties of ground states for singular elliptic equations with weights
A Dirichelet-Neumann m-point BVP with a p-Laplacian-like operator
SINGULAR SOLUTIONS TO A QUASILINEAR ODE
A p-Laplacian problem with a multi-point boundary condition
An m-point boundary value problem of Neumann type for a p-Laplacian like operator
A THREE POINT BOUNDARY VALUE PROBLEM CONTAINING THE OPERATOR -(phi(u '))'
On a semilinear parabolic system of reaction-diffusion with absorption
Mountain pass type solutions for quasilinear elliptic inclusions
Behavior of positive radial solutions for quasilinear elliptic equations
Regular and singular solutions of a quasilinear equation with weights
Existence of ground states for quasilinear nonhomogeneous elliptic systems
Existence of positive singular solutions for a class of quasilinear elliptic equations
Ground states and free boundary value problems for the n-Laplacian in n dimensional space
Mountain pass type solutions for quasilinear elliptic equations

BookSection (1)

Radial solutions of a Neumann problem coming from a burglary model.

ConferencePaper (1)

Bifurcation through higher order terms for problems at resonance

Proyecto (6)

Qualitative Properties of Solutions to some Elliptic and Parabolic problems
Quasilinear Singular Problems
Quasilinear Equations and Singular Problems
Qualitative Properties of Solutions to Nonlinear Differential Equations And Systems.
Nonlinear elliptic and parabolic partial differential equations and systems.
On properties of solutions to nonlinear differential equations and systems involving vector p-laplacian type operators.
65
MARTA GARCIA-HUIDOBRO

Profesora Titular

Matemáticas

PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE

SANTIAGO, Chile

21
Raul Manasevich

Profesor Titular

Departamento de Ingeniería Matematica y Centro de Modelamiento Matemático

Universidad de Chile

Santiago, Chile

6
Maria Del Carmen Cortazar

Profesor

Matematicas

U. CATOLICA DE CHILE, FACULTAD DE MATEMATICA

Santiago, Chile

3
Pilar Herreros

P. UNIVERSIDAD CATÓLICA DE CHILE, FACULTAD DE MATEMÁTICA

Santiago, Chile

1
Ignacio Guerra

UNIVERSIDAD DE SANTIAGO DE CHILE

Santiago, Chile