Research Article

The existence and uniqueness result of entropy solutions for a p(·)-Laplace operator problem in weighted Sobolev spaces

Published in: Quaestiones Mathematicae
Volume 46 , issue 8, pages: 1669–1694

DOI: 10.2989/16073606.2022.2110022

Author(s): Jiabin ZuoGuangzhou University, China, Abdelali SabriHassan 1er University, Morocco,

Keywords: 35A15, 35J60, 35J65, 74G30, Degenerate elliptic problems, entropy solutions, variable exponents, p(·)-fractional Laplacian, existence and uniqueness,

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Abstract

The paper is concerned with the existence and uniqueness result of entropy solutions for a degenerate elliptic p(·)-Laplacian problem by using the regularization approach and theory of weighted Sobolev spaces with variable exponents.

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Research Article

The existence and uniqueness result of entropy solutions for a p(·)-Laplace operator problem in weighted Sobolev spaces

Abstract

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