Uniqueness for entropy solution to a class of nonlinear degenerate weighted elliptic p(.)-Laplacian problem with L1-data

Adnane Kaddiri; Ahmed Jamea; Mohamed Laghdir; El Mehdi Hassoune

doi:10.56947/amcs.v23.317

Authors

Adnane Kaddiri ELITES, University Chouaib Doukkali, Morocco
Ahmed Jamea Equipe STIE, CRMEF Casablanca Settat, Morocco
Mohamed Laghdir ELITES, University Chouaib Doukkali, Morocco
El Mehdi Hassoune ELITES, University Chouaib Doukkali, Morocco

DOI:

https://doi.org/10.56947/amcs.v23.317

Keywords:

Entropy solution, Nonlinear elliptic problem, Uniqueness

Abstract

In the present paper, we prove the uniqueness of entropy solution to a class of nonlinear degenerate weighted elliptic p(·)-Laplacian problems. These particular problems are delineated by Dirichlet-type boundary conditions and L¹ data. We use a priori estimates in the framework of weighted variable exponent Sobolev spaces theory.