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

Bonder, J. Fernandez

Silva, A.

English

arXiv

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

Julian Fernandez Bonder

Analia Silva

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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.Fil: Fernandez Bonder, Julian. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Silva, Analia. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentin

Fernandez Bonder, Julian

Silva, Analia

CONICET Digital

LAReferencia - Red Federada de Repositorios Institucionales de Publicaciones Científicas Latinoamericanas

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The concentration-compactness principle for variable exponent spaces and applications

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LAReferencia - Red Federada de Repositorios Institucionales de Publicaciones Científicas Latinoamericanas