Electron. J. Diff. Equ., Vol. 2010(2010), No. 141, pp. 1-18.

Concentration-compactness principle for variable exponent spaces and applications

Julian Fernandez Bonder, Analia Silva

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 5, 2010.
Math Subject Classifications: 35J20, 35J60.
Key Words: Concentration-compactness principle; variable exponent spaces.

Show me the PDF file (297 KB), TEX file, and other files for this article.

Julián Fernández Bonder
Departamento de Matemática, FCEyN, Universidad de Buenos Aires
Pabellón I, Ciudad Universitaria (1428), Buenos Aires, Argentina
email: jfbonder@dm.uba.ar, http://mate.dm.uba.ar/~jfbonder
Analía Silva
Departamento de Matemática, FCEyN, Universidad de Buenos Aires
Pabellón I, Ciudad Universitaria (1428), Buenos Aires, Argentina
email: asilva@dm.uba.ar

Return to the EJDE web page