Existence Results for Some Anisotropic Elliptic Problems Having Variable Exponent and L1-data

In this paper, we propose to study the existence of entropy solutions for the strongly nonlinear anisotropic elliptic equation $$Au+ H(x,u,\nabla u) = f\qquad \mbox{in}\quad \Omega,$$ where $f$ belongs to $L^{1}(\Omega)$, $A$ is a Leray-Lions operator and $H$ is a nonlinear lower order term with non...

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Bibliographic Details
Date:2023
Main Authors: Benboubker, Mohamed Badr, Hjiaj, Hassane
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України 2023
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Online Access:https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1036
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Journal Title:Journal of Mathematical Physics, Analysis, Geometry

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Journal of Mathematical Physics, Analysis, Geometry