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arXiv:0906.1922 [math.AP]AbstractReferencesReviewsResources

The concentration-compactness principle for variable exponent spaces and applications

J. Fernandez Bonder, A. Silva

Published 2009-06-10, updated 2009-06-12Version 2

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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