Research article

Moroccan Journal of Pure and Applied Analysis

, 1:8

First online:

Open Access This content is freely available online to anyone, anywhere at any time.

Nonlinear elliptic systems with variable exponents and measure data

  • Mostafa BendahmaneAffiliated withInstitut de Mathématiques de BordeauxUniversité Victor Segalen Bordeaux 2 Email author 
  • , Fares MokhtariAffiliated withDepartment of Mathematics and Informatics. Faculty of Sciences, Univ of Benyoucef Benkhadda Email author 

Abstract

In this paper we prove existence results for distributional solutions of nonlinear elliptic systems with a measure data. The functional setting involves Lebesgue-Sobolev spaces as well as weak Lebesgue (Marcinkiewicz) spaces with variable exponents \(W_0^{1,p( \cdot )}(\Omega )\) and \({M^{p( \cdot )}}(\Omega )\)respectively.

Key words and phrases

Elliptic system measure data weak solution variable exponents