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Article type: Research Article
Authors: Khelifi, Hichema; b; c; *
Affiliations: [a] Department of Mathematics, University of Algiers 1, Algiers, Algeria | [b] Laboratory of Mathematical Analysis and Applications, University of Algiers 1, Algiers, Algeria | [c] Laboratory of Nonliner Partial Differtial Equations and HM, ENS-Kouba, Algiers, Algeria
Correspondence: [*] Corresponding author. E-mail: [email protected].
Abstract: In this paper, we are interested in the existence and regularity of solutions for some anisotropic elliptic equations with Hardy potential and Lm(Ω) data in appropriate anisotropic Sobolev spaces. The aim of this work is to get natural conditions to show the existence and regularity results for the solutions, that is related to an anisotropic Hardy inequality.
Keywords: Anisotropic elliptic problems, existence and regularity, Hardy potential, irregular data, Hardy inequality
DOI: 10.3233/ASY-231889
Journal: Asymptotic Analysis, vol. 137, no. 3-4, pp. 291-303, 2024
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