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.
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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 |
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Analía Silva Departamento de Matemática, FCEyN, Universidad de Buenos Aires Pabellón I, Ciudad Universitaria (1428), Buenos Aires, Argentina email: asilva@dm.uba.ar |
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