<abstract xmlns="http://www.w3.org/1999/xhtml"> 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 W01,p(·)(Ω) and Mp(·)(Ω) respectively. </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 W01,p(·)(Ω) and Mp(·)(Ω) respectively.

Nonlinear elliptic systems with variable exponents and measure data

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

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

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Nonlinear elliptic systems with variable exponents and measure data"}

In this paper we prove existence results for distributional solutions of nonlinear elliptic systems with a measure data. The functional setting involves...

Nonlinear elliptic systems with variable exponents and measure data

Article Category: Research Article

Published Online: Feb 04, 2017

Page range: 108 - 125

Received: Nov 05, 2015

Accepted: Jan 02, 2016

DOI: https://doi.org/10.7603/s40956-015-0008-3

Keywords
Elliptic system, measure data, weak solution, variable exponents

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Nonlinear elliptic systems with variable exponents and measure data

Article Category: Research Article

Published Online: Feb 04, 2017

Page range: 108 - 125

Received: Nov 05, 2015

Accepted: Jan 02, 2016

DOI: https://doi.org/10.7603/s40956-015-0008-3

KeywordsElliptic system, measure data, weak solution, variable exponents

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Elliptic system, measure data, weak solution, variable exponents