Nonlinear elliptic systems with variable exponents and measure data-Reference-Cited by-同舟云学术

Nonlinear elliptic systems with variable exponents and measure data

Published:2015-12-01 Issue:2 Volume:1 Page:108-125
ISSN:2351-8227
Container-title:Moroccan Journal of Pure and Applied Analysis
language:en
Short-container-title:

Author:

Bendahmane Mostafa¹,Mokhtari Fares²

Affiliation:

1. Institut de Mathématiques de Bordeaux UMR CNRS 5251, Université Victor Segalen Bordeaux 2, F-33076 Bordeaux Cedex, France

2. Laboratoire des EDPNL, ENS-Kouba, Department of Mathematics and Informatics, Faculty of Sciences, Univ of Benyoucef Benkhadda, 2 rue Didouche Mourad, Algiers, Algeria

Abstract

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 W0 1,p(·)(Ω) and Mp(·)(Ω) respectively.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

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