The concentration-compactness principle for variable exponent spaces and applications

Details The concentration-compactness principle for variable exponent spaces and applications The concentration-compactness principle for variable exponent spaces and applications

2009-06-10

arxiv.org/abs/0906.1922v2

Mathematics

Analysis of PDEs

Scientific paper

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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