A Lewy-Stampacchia inequality in variable Sobolev spaces for pseudomonotone operators

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2014 English Publisher:Element d.o.o.Journal:Differential Equations & Applications (issn: 1847-120X,

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Authors: Mokrane, A.; Vallet, G.;

doi: 10.7153/dea-06-11

A Lewy-Stampacchia inequality in variable Sobolev spaces for pseudomonotone operators

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Abstract

The authors prove the Lewy-Stampacchia inequality for a nonlinear pseudomonotone elliptic operator in the variable exponent Sobolev spaces. The proof is based on a penalization method.

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Keywords

Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators, variable exponent spaces, Free boundary problems for PDEs, Lewy-Stampacchia inequality, nonlinear pseudomonotone elliptic operator

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