Application of the Stampacchia lemma to anisotropic degenerate elliptic equations

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 belonging to certain Marcinkiewicz spaces Mm(Ω) with m > 1. We use a generalized Stampacchia Lemma version to establish the main results.

Keywords

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