Concentration-compactness principle for variable exponent spaces and applications

In this article, we extend the well-known concentration - compactness principle by Lions to the variable exponent case. We also give some applications to the existence problem for the p(x)-Laplacian with critical growth.

Detalles Bibliográficos
Autores: Fernandez Bonder, Julian, Silva, Analia
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2010
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/68744
Acceso en línea:http://hdl.handle.net/11336/68744
Access Level:acceso abierto
Palabra clave:CONCENTRATION-COMPACTNESS PRINCIPLE
VARIABLE EXPONENT SPACES
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario:In this article, we extend the well-known concentration - compactness principle by Lions to the variable exponent case. We also give some applications to the existence problem for the p(x)-Laplacian with critical growth.