Existence of entropy solutions to nonlinear degenerate weighted elliptic p(.)-Laplacian problem and L1-data

Adnane Kaddiri, A. Jamea, Mohamed Laghdir, El Mehdi Hassoune
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Abstract

Our aim in this paper is to study the existence result of entropy solution for a specific type of nonlinear degenerate weighted elliptic  p(.)-Laplacian problems with Dirichlet-type boundary condition and  L1 data. In the framework of the theory of weighted Sobolev spaces with variable exponents, we use the regularization approach combined with a priori estimates. 
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非线性退化加权椭圆 p(.)-Laplacian 问题的熵解存在性和 L1 数据
本文的目的是研究具有 Dirichlet 型边界条件和 L1 数据的特定类型非线性退化加权椭圆 p(.)-Laplacian 问题的熵解存在性结果。在具有可变指数的加权索波列夫空间理论框架内,我们使用正则化方法结合先验估计。
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