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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.
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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