Entropy solutions for anisotropic nonlinear Dirichlet problems

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Résumé

We study in this paper nonlinear anisotropic problems with Dirichlet boundary value condition, L1-data and variable exponent. We prove the existence and uniqueness of entropy solution under general conditions on the data

Mots-clés

generalized Lebesgue-Sobolev spaces; anisotropic Sobolev spaces; weak solution; entropy solution; Dirichlet boundary condition; Marcinkiewicz spaces