Regularity of the Solution to Nonlinear Anisotropic Elliptic Equations with Variable Exponents and Irregular Data |
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| Authors: | Fares?Mokhtari mailto:fares_maths@yahoo.fr" title=" fares_maths@yahoo.fr" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author |
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| Affiliation: | 1.Department of Mathematics and Informatics, Faculty of Sciences,University of Benyoucef Benkhedda,Algiers,Algeria;2.Laboratory of PDE, ENS-Kouba,Algiers,Algeria |
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| Abstract: | ![]()
In this paper, we prove the existence and regularity of weak solutions for a class of nonlinear anisotropic elliptic equations with (p_i(x)) growth conditions and (L^m) data, with m being small. The functional setting involves Lebesgue–Sobolev spaces with variable exponents. Our results are generalizations of the corresponding results in the constant exponent case and some results given in Bendahmane et al. (Commun Pure Appl Anal 12:1201–1220, 2013). |
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