Existence of entropy solutions to  nonlinear degenerate weighted elliptic p(.)-Laplacian problem and L1-data

Adnane KADDIRI; Ahmed JAMEA; Mohamed LAGHDIR; El Mehdi HASSOUNE

doi:10.56947/amcs.v22.290

Authors

Adnane KADDIRI Innovation Laboratory, Technology Transfer and Entrepreneurship (ILTE), Department of Mathematics, University of Chouaib Doukkali, Morocco
Ahmed JAMEA Equipe STIE, CRMEF, Morocco
Mohamed LAGHDIR Innovation Laboratory, Technology Transfer and Entrepreneurship (ILTE), Department of Mathematics, University of Chouaib Doukkali, Morocco
El Mehdi HASSOUNE Innovation Laboratory, Technology Transfer and Entrepreneurship (ILTE), Department of Mathematics, University of Chouaib Doukkali, Morocco

DOI:

https://doi.org/10.56947/amcs.v22.290

Keywords:

Entropy solution, Existence, Nonlinear elliptic problem, p(.)-Laplacian

Abstract

Our aim in this paper is to study the existence result of entropy solution for a specific type of nonlinear degenerate weighted elliptic p(.)-Laplacian problems with Dirichlet-type boundary condition and L1 data. In the framework of the theory of weighted Sobolev spaces with variable exponents, we use the regularization approach combined with a priori estimates.