Man

Alexander .... Quaas Berger

Profesor Adjunto

UNIVERSIDAD TÉCNICA FEDERICO SANTA MARÍA

Valparaíso, Chile

Líneas de Investigación


Ecuaciones Diferenciales; Análisis no lineal

Educación

  •  Apply Mathematics, UNIVERSITE PARIS DAUPHINE - PARIS IX. Francia, 2003

Experiencia Académica

  •   Profesor Adjunto

    Universidad Técnica Federico Santa Maria

    Viña del Mar, Chile

    Not Available - Not Available

  •   Profesor Adjunto Full Time

    UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

    Valparaíso, Chile

    2004 - At present

Experiencia Profesional

  •   Director General de Ingestigación Full Time

    Universidad Técnica Federico Santa María

    Valparaiso, Chile

    2010 - 2012

Formación de Capital Humano


1) Magíster en Matemáticas UTFSM: Osiris González 2012:
Exponentes críticos para operadores elípticos singulares o degenerados
2) Tesis de Ingeniería Civil Matemática UTFSM: Rodrigo Meneses 2011.
Exponentes de Fujita para operadores elípticos.
3) Tesis de Ingeniería Civil Matemática U. de Chile, Gonzalo Dávila 2008:
Algunas Propiedades Básicas de Operadores No Uniformemente Elípticos, co –guía.
4) Doctorado U. De Chile: Fully nonlinear elliptic equation and semilinear fractional elliptic eqautions , Huyuan Chen 2014, co-guía.
5) Doctorado UTFSM, Aliang Xia en desarrollo, guía.
6) Doctorado UTFSM, Andrei Rodríguez en desarrollo, guía.


Premios y Distinciones

  •   Premio de Doctorado Academia Chilena de Ciencias 2007

    ACADEMIA CHILENA DE CIENCIAS

    Chile, 2007

    Best PHD Thesis year 2003 to 2006.


 

Article (47)

Existence and non-existence of solutions to elliptic equations with a general convection term
Large viscosity solutions for some fully nonlinear equations
Liouville Type Theorems for Elliptic Equations with Gradient Terms
Nonexistence of positive supersolutions to some nonlinear elliptic problems
Solvability of nonlinear elliptic equations with gradient terms
Boundary blow up solutions for fractional elliptic equations
Existence and multiplicity results for Pucci's operators involving nonlinearities with zeros
Existence and non-existence of global solutions for uniformly parabolic equations
Existence and regularity results for fully nonlinear equations with singularities
Existence and uniqueness of solutions of nonlinear elliptic equations without growth conditions at infinity
Keller-Osserman type conditions for some elliptic problems with gradient terms
Positive solutions of the nonlinear Schrodinger equation with the fractional Laplacian
Fujita type exponent for fully nonlinear parabolic equations and existence results
Fundamental solutions and Liouville type theorems for nonlinear integral operators
FUNDAMENTAL SOLUTIONS FOR A CLASS OF ISAACS INTEGRAL OPERATORS
MULTIPLICITY RESULTS FOR EXTREMAL OPERATORS THROUGH BIFURCATION
Eigenvalues for Radially Symmetric Fully Nonlinear Operators
Geometry of phase plane and radial solutions for nonlinear elliptic equations with extremal operators
Harnack inequality for singular fully nonlinear operators and some existence results
Landesman-Lazer type results for second order Hamilton-Jacobi-Bellman equations
Large number of fast decay ground states to Matukuma-type equations
RESONANCE PHENOMENA FOR SECOND-ORDER STOCHASTIC CONTROL EQUATIONS
SUPERLINEAR ELLIPTIC EQUATION FOR FULLY NONLINEAR OPERATORS WITHOUT GROWTH RESTRICTIONS FOR THE DATA
A note on the strong maximum principle and the compact support principle
Alexandroff-Bakelman-Pucci estimate for singular or degenerate fully nonlinear elliptic equations
Existence and Non-existence Results for Fully Nonlinear Elliptic Systems
FUNDAMENTAL SOLUTIONS AND TWO PROPERTIES OF ELLIPTIC MAXIMAL AND MINIMAL OPERATORS
On the complex structure of positive solutions to Matukuma-type equations
Random dynamics of gene transcription activation in single cells
Monotonicity properties for ground states of the scalar field equation
Principal eigenvalues and the Dirichlet problem for fully nonlinear elliptic operators
Solvability of monotone systems of fully nonlinear elliptic PDE's
Large critical exponents for some second order uniformly elliptic operators
SOME RECENT RESULTS ON EQUATIONS INVOLVING THE PUCCIS EXTREMAL OPERATORS
Critical exponents for uniformly elliptic extremal operators
Existence results for nonproper elliptic equations involving the pucci operator
On the principal eigenvalues and the Dirichlet problem for fully nonlinear operators
On the principal eigenvalues and the Dirichlet problem for fully nonlinear operators Sur les valuers propres et le problème de Dirichlet pour des opérateurs complètement non-linéaires
On uniqueness for nonlinear elliptic equation involving the Pucci's extremal operator
ON UNIQUENESS FOR NONLINEAR ELLIPTIC EQUATION INVOLVING THE PUCCIS EXTREMAL OPERATOR
Nonlinear eigenvalues and bifurcation problems for Pucci's operators
Positive radial solutions to a 'semilinear' equation involving the Pucci's operator
POSITIVE RADIAL SOLUTIONS TO A SEMILINEAR EQUATION INVOLVING THE PUCCIS OPERATOR
On critical exponents for the Pucci's extremal operators
Critical exponents for the Pucci's extremal operators
ON THE STRONG MAXIMUM PRINCIPLE FOR QUASILINEAR ELLIPTIC EQUATIONS AN SYSTEMS
Qualitative properties for semilinear elliptic systems with non-Lipschitz nonlinearity

ConferencePaper (1)

Some recent results on equations involving the Pucci's extrernal operators
61
Alexander Quaas

Profesor Adjunto

Departamento de Matemática

UNIVERSIDAD TÉCNICA FEDERICO SANTA MARÍA

Valparaíso, Chile

52
Patricio Felmer

Full Professor

Ingeniería Matemática

Universidad de Chile

Santiago, Chile

9
Salomón Alarcón

Associated

Matemática

UNIVERSIDAD TÉCNICA FEDERICO SANTA MARÍA

Valparaíso, Chile

2
Jinggang Tan

profesor academica

UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

Valparaiso, Chile

1
Leonelo Iturriaga

Professor

Mathematics

UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

SANTIAGO, Chile

1
Alejandro Allendes

Assistant Professor

Mathematics

UNIVERSIDAD TÉCNICA FEDERICO SANTA MARÍA

Valparaíso, Chile

1
Alejandro Allendes

Academic Instructor

Departamento de Matemática

Universidad Tecnica Federico Santa María

Valparaíso, Chile