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 : Entrepreneurship and Africa’s Cultural Context , 2024 , pages: 1669–1694
DOI: 10.2989/16073606.2022.2110022
Author(s): Jiabin Zuo Guangzhou University, China, Abdelali Sabri Hassan 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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