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Nonlinear Degenerate Anisotropic Elliptic Equations with Variable Exponents and L1 Data
Authors:Hichem Khelifi & Fares Mokhtari
Institution:Department of Mathematics and Informatics, University of Algiers, Algiers,Algeria.2 Street Didouche Mourad Algiers;Applied Mathematics Laboratory, Badji Mokhtar University-Annaba B.P.12,Algeria;Department of Mathematics and Informatics, University of Algiers, Algiers,Algeria.2 Street Didouche Mourad Algiers
Abstract:This paper is devoted to the study of a nonlinear anisotropic elliptic equation with degenerate coercivity, lower order term and L1 datum in appropriate anisotropic variable exponents Sobolev spaces. We obtain the existence of distributional solutions.
Keywords:Sobolev spaces with variable exponents                                                                                                anisotropic equations                                                                                                elliptic equations                                                                                                L1 data  
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