Topological methods for a nonlinear elliptic system with nonlinear boundary conditions

A nonlinear elliptic second order system with a nonlinear boundary condition is studied. We prove an existence result under a Hartman type condition. Moreover, assuming appropriate conditions of Nirenberg type, we prove the existence of solutions applying topological degree theory.

Detalles Bibliográficos
Autor: Amster, Pablo Gustavo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2009
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/155014
Acceso en línea:http://hdl.handle.net/11336/155014
Access Level:acceso abierto
Palabra clave:LERAY-SCHAUDER DEGREE
NONLINEAR ELLIPTIC SYSTEMS
NONLINEAR BOUNDARY CONDITIONS
TOPOLOGICAL DEGREE THEORY
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario:A nonlinear elliptic second order system with a nonlinear boundary condition is studied. We prove an existence result under a Hartman type condition. Moreover, assuming appropriate conditions of Nirenberg type, we prove the existence of solutions applying topological degree theory.