Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 141, pp. 1-18.

Title: Concentration-compactness principle for variable exponent spaces
       and applications

Authors: Julian Fernandez Bonder (Univ. de Buenos Aires, Argentina)
         Analia Silva (Univ. de Buenos Aires, Argentina)

Abstract:
 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.

Submitted August 8, 2009. Published October 05, 2010.
Math Subject Classifications: 35J20, 35J60.
Key Words: Concentration-compactness principle; variable exponent spaces.