Man

Salomón Diógenes Alarcón Araneda

Associated

UNIVERSIDAD TÉCNICA FEDERICO SANTA MARÍA

Valparaíso, Chile

Líneas de Investigación


Partial Differential Equations: Concentration Phenomena; Problems with boundary blow-up; Elliptic problems

Educación

  •  Análisis no lineal de Ecuaciones diferenciales parciales, UNIVERSIDAD DE CHILE. Chile, 2006
  •  Ecuaciones Diferenciales Parciales, UNIVERSIDAD DE CONCEPCION. Chile, 2001

Experiencia Académica

  •   Profesor Asociado Full Time

    UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

    Valparaíso, Chile

    2007 - At present

Experiencia Profesional

  •   Profesor Asociado Full Time

    UNIVERSIDA TECNICA FEDERICO SANTA MARIA

    Valparaíso, Chile

    2007 - At present

Formación de Capital Humano


- Advisor Magister student Nicolás Varela Campos, program "Magister en Ciencias Mención Matemática" at Universidad Técnica Federico Santa María.

- Advisor Magister student Pablo Quijada Zamora, program "Magister en Ciencias Mención Matemática" at Universidad Técnica Federico Santa María.



 

Article (19)

Sign-changing solutions for a nonhomogeneous Paneitz-type problem

Alarcón S.; Varela N.

Article SCOPUS
Mathematische Nachrichten  (2020)

SIGN-CHANGING SOLUTIONS FOR SOME NONHOMOGENEOUS NONLOCAL CRITICAL ELLIPTIC PROBLEMS

Alarcón S.; Tan J.

Article ISI SCOPUS
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS  (2019)

Sign-changing solutions at the almost Henon critical exponent

Alarcon S.

Article ISI SCOPUS
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS  (2018)

Nonexistence results for elliptic equations with gradient terms

Alarcón, Salomón; Burgos-Pérez, Miguel Ángel; García-Melián, Jorge; Quaas, Alexander

Article
JOURNAL OF DIFFERENTIAL EQUATIONS  (2016)

Optimal Liouville theorems for supersolutions of elliptic equations with the Laplacian

Alarcón, Salomón; García-Melián, Jorge; Quaas, Alexander

Article
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE  (2016)

A PANEITZ-TYPE PROBLEM IN PIERCED DOMAINS

Alarcon S.; Pistoia A.

Article ISI
DIFFERENTIAL AND INTEGRAL EQUATIONS  (2015)

Large solutions of elliptic semilinear equations in the borderline case. An exhaustive and intrinsic point of view

Alarcon S.; Diaz G.; Rey, JM

Article ISI SCOPUS
Journal of Mathematical Analysis and Applications  (2015)

Existence and non-existence of solutions to elliptic equations with a general convection term

Quaas, Alexander; García-Melián, Jorge; . Alarcón, Salomón

Article ISI SCOPUS
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS  (2014)

Large viscosity solutions for some fully nonlinear equations

Alarcon S.; Quaas, A

Article ISI SCOPUS
Nonlinear Differential Equations and Applications  (2013)

Liouville Type Theorems for Elliptic Equations with Gradient Terms

Alarcon S.; Garcia-Melian, J; Quaas, A

Article ISI SCOPUS
Milan Journal of Mathematics  (2013)

Nonexistence of positive supersolutions to some nonlinear elliptic problems

Alarcon S.; Garcia-Melian, J; Quaas, A

Article ISI SCOPUS
Journal des Mathematiques Pures et Appliquees  (2013)

The influence of sources terms on the boundary behavior of the large solutions of quasilinear elliptic equations: the power like case

Alarcon S.; Diaz G.; Rey, JM

Article ISI SCOPUS
Zeitschrift fur Angewandte Mathematik und Physik  (2013)

Existence and multiplicity results for Pucci's operators involving nonlinearities with zeros

Alarcon S.; Iturriaga, L; Quaas, A

Article ISI SCOPUS
Calculus of Variations and Partial Differential Equations  (2012)

Existence and uniqueness of solutions of nonlinear elliptic equations without growth conditions at infinity

Alarcon S.; Garcia-Melian, J; Quaas, A

Article ISI SCOPUS
Journal d'Analyse Mathematique  (2012)

Keller-Osserman type conditions for some elliptic problems with gradient terms

Alarcon S.; Garcia-Melian, J; Quaas, A

Article ISI SCOPUS
Journal of Differential Equations  (2012)

Expanding the asymptotic explosive boundary behavior of large solutions to a semilinear elliptic equation

Alarcon S.; Diaz G.; Letelier R.; Rey, JM

Article ISI SCOPUS
Nonlinear Analysis, Theory, Methods and Applications  (2010)

Large number of fast decay ground states to Matukuma-type equations

Alarcon S.; Quaas, A

Article ISI SCOPUS
Journal of Differential Equations  (2010)

MULTIPLE SOLUTIONS FOR A CRITICAL NONHOMOGENEOUS ELLIPTIC PROBLEM IN DOMAINS WITH SMALL HOLES

Alarcon S.

Article ISI SCOPUS
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS  (2009)

Double-spike solutions for a critical inhomogeneous elliptic problem in domains with small holes

Alarcon S.

Article ISI SCOPUS
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS  (2008)

Proyecto (7)

BOUNDARY VALUE PROBLEMS INVOLVING HENÓN TYPE EQUATIONS

FONDECYT (1171691)

Proyecto
2017-2021
Inv. Responsable

ELLIPTIC DIFFERENTIAL EQUATIONS WITH INDEFINITE STRUCTURE

FONDECYT (1171532)

Proyecto
2017-2021
Coinvestigador(a)

HAMILTONIAN ELLIPTIC SYSTEMS AND FOURTH-ORDER EQUATIONS

FONDECYT (1161635)

Proyecto
2016-2020
Coinvestigador(a)

Análisis y modelamiento matemático=> Teoría y Aplicaciones

Universidad Técnica Federico Santa María (12.15.68)

Proyecto
2015-2016
Investigador(a)

Center for Nonlinear Analysis & Partial Differential Equations

Iniciativa Científica Milenio (NC130017)

Proyecto
2015-2017
Investigador(a)

ON QUALITATIVE ASPECTS OF SOME NONLINEAR ELLIPTIC DIFFERENTIAL EQUATIONS

FONDECYT (11110482)

Proyecto
2011-2014
Inv. Responsable

LOCAL PROPERTIES IN THE INTERIOR AND ON THE BOUNDORY OF BLOW-UP SOLUTIONS IN QUASILINEAR ELLIPTIC PROBLEMS

FONDECYT (1000333)

Proyecto
2000-2003
Tesista

21
Salomón Alarcón

Associated

Matemática

UNIVERSIDAD TÉCNICA FEDERICO SANTA MARÍA

Valparaíso, Chile

9
Alexander Quaas

Profesor Adjunto

Departamento de Matemática

UNIVERSIDAD TÉCNICA FEDERICO SANTA MARÍA

Valparaíso, Chile

1
Leonelo Iturriaga

Professor

Mathematics

UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

SANTIAGO, Chile