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

Idrissa Ibrango; Stanislas Ouaro

ArticleOriginal scientific text

Title

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

Authors ¹, ²

Affiliations

Laboratoire de Mathématiques et Informatique (LAMI), UFR. Sciences et Techniques, Université Polytechnique de Bobo-Dioulasso, 01 BP 1091 Bobo 01, Bobo-Dioulasso, Burkina Faso
Laboratoire de Mathématiques et Informatique (LAMI), UFR. Sciences Exactes et Appliquées, Université de Ouagadougou, 03 BP 7021 Ouaga 03, Ouagadougou, Burkina Faso

Abstract

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.

Keywords

ENG

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

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Title

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

Affiliations

Abstract

Keywords

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