Entropy solution for doubly nonlinear elliptic anisotropic problems with Fourier boundary conditions

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Résumé

The goal of this paper is to study nonlinear anisotropic problems with Fourier boundary conditions. We first prove, by using the technic of monotone operators in Banach spaces, the existence of weak solutions, and by approximation methods, we prove a result of existence and uniqueness of entropy solution

Mots-clés

anisotropic Sobolev spaces; variable exponent; monotone operator; Fourier boundary conditions; entropy solutions