具有Neumann非齐次边界条件的p（·）-Laplace方程的重正化解

Q3 Mathematics

Moroccan Journal of Pure and Applied Analysis Pub Date : 2022-01-01 DOI:10.2478/mjpaa-2022-0012

M. B. Benboubker, E. Nassouri, S. Ouaro, U. Traoré

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引用次数: 1

摘要

摘要本文证明了与极大单调算子和Radon测度数据相关的p（x）-Laplace方程的至少一个重整化解的存在性。函数设置涉及具有可变指数W1，p（·）（Ω）的Sobolev空间。

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Renormalized solutions for a p(·)-Laplacian equation with Neumann nonhomogeneous boundary condition involving diffuse measure data and variable exponent

Abstract In this paper we prove the existence of at least one renormalized solution for the p(x)-Laplacian equation associated with a maximal monotone operator and Radon measure data. The functional setting involves Sobolev spaces with variable exponent W1,p(·)(Ω).

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来源期刊

Moroccan Journal of Pure and Applied Analysis Mathematics-Numerical Analysis

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

8 weeks