The concentration-compactness principle for variable exponent spaces and applications

The concentration-compactness principle for variable exponent spaces and applications

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.

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Bibliographic Details
Main Authors: Bonder, J. Fernandez, Silva, A
Format: Journal Article
Language:English
Published: 10-06-2009
Subjects:
Mathematics - Analysis of PDEs
Online Access:Get full text
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Description
Summary: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.
DOI:10.48550/arxiv.0906.1922