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math.AP2015
Local existence conditions for an equations involving the -Laplacian with critical exponent in
Nicolas Saintier, Analia Silva
The purpose of this paper is to formulate sufficient existence conditions for a critical equation involving the -Laplacian posed in . This equation is critical…
math.AP2015
A mass transportation approach for Sobolev inequalities in variable exponent spaces
Juan Pablo Borthagaray, Julián Fernández Bonder, Analía Silva
In this paper we provide a proof of the Sobolev-Poincaré inequality for variable exponent spaces by means of mass transportation methods. The importance of this approach is that th…