Existence of solutions for some nonlinear elliptic unilateral problems with measure data

In this paper we prove the existence of entropy solution to unilateral problems associated to the equations of the type: $Au-div(\phi(u))=\mu\in L^{1}(\Omega)+W^{-1,p'(x)}(\Omega)$, where $A$ is a Leray-Lions operator acted from $W_{0}^{1,p(x)}(\Omega)$ into its dual $W^{-1,p(x)}(\Omega)$ and $...

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Bibliographic Details
Main Authors: Chihab Yazough, El houssine Azroul, Hicham Redwane
Format: Article
Language:English
Published: University of Szeged 2013-07-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=2018