Journal of innovative applied mathematics and computational sciences
Volume 3, Numéro 1, Pages 75-82
2023-06-30

Application Of Stampacchia Lemma On The Anisotropic Degenerate Elliptic Equations

Authors : Khelifi Hichem .

Abstract

In this paper, we prove the existence and regularity of solutions for a class of nonlinear anisotropic degenerate elliptic equations with the data f belong to some Marcinkiewicz spaces M m ( Ω ) avec m > 1. We use a generalized version of Stampacchia Lemma in order to prove the main results.

Keywords

Anisotropic problem ; Degenerate elliptic ; Generalized Stampacchia Lemma ; Marcinkiewicz space