Man

Leonelo Patricio Iturriaga Pastene

Professor

UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

SANTIAGO, Chile

Líneas de Investigación


Nonlinear Functional Analysis with applications to semilinear and quasilinear elliptic PDE

Educación

  •  Math, UNIVERSIDAD DE CHILE. Chile, 2006
  •  Math, UNIVERSIDAD DE SANTIAGO DE CHILE. Chile, 2001

Experiencia Académica

  •   Professor Full Time

    UNIVERSIDAD DE TARAPACA

    Science

    Arica, Chile

    2008 - 2008

  •   Professor Full Time

    UNIVERSIDAD DE TARAPACA

    Arica, Chile

    2008 - 2011

  •   Professor Full Time

    UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

    Santiago, Chile

    2011 - A la fecha

Experiencia Profesional

  •   Assistant Professor Full Time

    Universidad de Tarapacá

    Arica, Chile

    2008 - 2009

  •   Posdoctoral Full Time

    Universidad de Chile

    Santiago, Chile

    2006 - 2008

  •   Associated Professor Full Time

    Universidad de Tarapacá

    Arica, Chile

    2009 - 2011

  •   Professor Full Time

    Universidad Técnica Federico Santa María

    Santiago, Chile

    2011 - A la fecha

Formación de Capital Humano


Training

2012-2013 Patricio Cerda, Co-director, PhD in Mathematics, Universidad de Santiago. Santiago-Chile.

Courses

2011 Real Analysis, Postgrade course at Institute of Mathematics, Statistics and Scientific Computing, Universidade Estadual de Campinas. Campinas-Brazil.


Premios y Distinciones

  •   Postdoctorate grant FONDECYT

    UNIVERSIDAD DE CHILE

    Chile, 2005

    The FONDECYT and CONICYT are grants of the Chilean government in order to support scientific activities

  •   Doctorate Stipendia

    UNIVERSIDAD DE CHILE

    Chile, 2003

    The FONDECYT and CONICYT are grants of the Chilean government in order to support scientific activities


 

Article (49)

Sobolev versus Hölder local minimizers in degenerate Kirchhoff type problems
Existence of solution for quasilinear equations involving local conditions
POSITIVE RADIAL SOLUTIONS INVOLVING NONLINEARITIES WITH ZEROS
EXISTENCE, NONEXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR THE POLY-LAPLACIAN AND NONLINEARITIES WITH ZEROS
Liouville theorems for radial solutions of semilinear elliptic equations
On necessary conditions for the comparison principle and the sub- and supersolution method for the stationary Kirchhoff equation
POSITIVE RADIAL SOLUTIONS OF A NONLINEAR BOUNDARY VALUE PROBLEM
Multiple positive solutions for the $m$-Laplacian and a nonlinearity with many zeros.
Multiple positive solutions for the m -Laplacian and a nonlinearity with many zeros
Semilinear elliptic equations and nonlinearities with zeros
Semilinear elliptic equations and nonlinearities with zeros
Some counterexamples related to the stationary Kirchhoff equation
SOME COUNTEREXAMPLES RELATED TO THE STATIONARY KIRCHHOFF EQUATION
A Priori Bounds and Existence of Solutions for Slightly Superlinear Elliptic Problems
A Priori Bounds and Existence of Solutions for Slightly Superlinear Elliptic Problems
Local minimizers in spaces of symmetric functions and applications
Local minimizers in spaces of symmetric functions and applications
Multiplicity of solutions for some semilinear problems involving nonlinearities with zeros
Multiplicity of solutions for some semilinear problems involving nonlinearities with zeros
Positive solutions for an elliptic equation in an annulus with a superlinear nonlinearity with zeros
Positive solutions for an elliptic equation in an annulus with a superlinear nonlinearity with zeros
QUASILINEAR PROBLEMS INVOLVING CHANGING-SIGN NONLINEARITIES WITHOUT AN AMBROSETTI-RABINOWITZ-TYPE CONDITION
QUASILINEAR PROBLEMS INVOLVING CHANGING-SIGN NONLINEARITIES WITHOUT AN AMBROSETTI-RABINOWITZ-TYPE CONDITION
Existence and multiplicity results for Pucci's operators involving nonlinearities with zeros
Existence and multiplicity results for Pucci's operators involving nonlinearities with zeros
QUASILINEAR EQUATIONS INVOLVING NONLINEAR NEUMANN BOUNDARY CONDITIONS
QUASILINEAR EQUATIONS INVOLVING NONLINEAR NEUMANN BOUNDARY CONDITIONS
A quasilinear problem without the Ambrosetti-Rabinowitz-type condition
A quasilinear problem without the Ambrosetti-Rabinowitz-type condition
Exact number of solutions of stationary reaction-diffusion equations
Exact number of solutions of stationary reaction-diffusion equations
Existence of Solutions to Quasilinear Elliptic Equations With Singular Weights
Existence of Solutions to Quasilinear Elliptic Equations With Singular Weights
Positive solutions for the p-Laplacian involving critical and supercritical nonlinearities with zeros
Positive solutions for the p-Laplacian involving critical and supercritical nonlinearities with zeros
Positive solutions of the p-Laplacian involving a superlinear nonlinearity with zeros
Positive solutions of the p-Laplacian involving a superlinear nonlinearity with zeros
A Multiplicity Result for the p-Laplacian Involving a Parameter
A Multiplicity Result for the p-Laplacian Involving a Parameter
Existence and multiplicity results for some quasilinear elliptic equation with weights
Existence and multiplicity results for some quasilinear elliptic equation with weights
Existence and Multiplicity Results for the p-Laplacian with a p-Gradient Term
Existence and Multiplicity Results for the p-Laplacian with a p-Gradient Term
Existence and multiplicity results for degenerate elliptic equations with dependence on the gradient
Existence and multiplicity results for degenerate elliptic equations with dependence on the gradient
Existence of positive solutions for p-Laplacian problems with weights
Existence of positive solutions for p-Laplacian problems with weights
Semi-linear singular elliptic equations with dependence on the gradient
Semi-linear singular elliptic equations with dependence on the gradient

Proyecto (19)

BOUNDARY VALUE PROBLEMS INVOLVING HENÓN TYPE EQUATIONS
BOUNDARY VALUE PROBLEMS INVOLVING HENÓN TYPE EQUATIONS
ELLIPTIC DIFFERENTIAL EQUATIONS WITH INDEFINITE STRUCTURE
ELLIPTIC DIFFERENTIAL EQUATIONS WITH INDEFINITE STRUCTURE
Análisis no lineal y numérico de ecuaciones en derivadas parciales
HAMILTONIAN ELLIPTIC SYSTEMS AND FOURTH-ORDER EQUATIONS
Hamiltonian elliptic systems and fourth-order equations
Análisis y modelamiento matemático=> Teoría y Aplicaciones
Ecuaciones Cuasilineales Elípticas
Multiplicity of solutions for quasilinear and non-local elliptic problems
MULTIPLICITY OF SOLUTIONS FOR QUASILINEAR AND NON-LOCAL ELLIPTIC PROBLEMS
Some superlinear elliptic problems involving quasilinear operators
SOME SUPERLINEAR ELLIPTIC PROBLEMS INVOLVING QUASILINEAR OPERATORS
Perturbed quasilinear and semilinear elliptic equations
PERTURBED QUASILINEAR AND SEMILINEAR ELLIPTIC EQUATIONS
GENERALIZED QUASILINEAR ELLIPTIC EQUATIONS WITH SINGULAR WEIGHTS
Generalized quasilinear elliptic equations with singular weights
ISOPERIMETRIC INEQUALITIES AND APPLICATIONS TO NONLINEAR ELLIPTIC PDE's'
EXISTENCIA Y MULTIPLICIDAD DE SOLUCIONES PARA CIERTOS PROBLEMAS ELIPTICOS SUPERLINEALES.
49
Leonelo Iturriaga

Professor

Mathematics

UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

SANTIAGO, Chile

16
Pedro Ubilla

Full Professor

Facultad de Ciencias

UNIVERSIDAD DE SANTIAGO DE CHILE

Santiago, Chile

4
Justino Sánchez

Académico

Matemáticas

Universidad de La Serena

La Serena, Chile

1
Alexander Quaas

Profesor Adjunto

Departamento de Matemática

UNIVERSIDAD TÉCNICA FEDERICO SANTA MARÍA

Valparaíso, Chile

1
Salomón Alarcón

Associated

Matemática

UNIVERSIDAD TÉCNICA FEDERICO SANTA MARÍA

Valparaíso, Chile

1
Patricio Cerda

Profesor Asistente

Matemática

Universidad de Santiago de Chile

Santiago, Chile