涉及无通量边界条件的 p(x)-Laplacian-like 问题的三重弱解

IF 0.8 4区数学 Q2 MATHEMATICS

Georgian Mathematical Journal Pub Date : 2024-08-02 DOI:10.1515/gmj-2024-2043

Khaled Kefi, Nguyen Thanh Chung, Walid Abdelfattah

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引用次数: 0

摘要

在本文中，我们考虑了一类类似于 p ( x ) {p(x)} 的拉普拉斯问题，该问题具有不确定权重，不涉及通量边界条件。利用变分技术以及 Bonanno 和 Marano [4] 的临界点定理，我们证明了该问题在 Sobolev 可变指数空间中至少存在三个弱解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Triple weak solution for p(x)-Laplacian like problem involving no flux boundary condition

In this paper, we consider a class of p ⁢ ( x )

{p(x)}

-Laplacian like problems with indefinite weight involving no flux boundary condition. Using variational techniques and the critical point theorem of Bonanno and Marano [4], we prove the existence of at least three weak solutions to the problem in Sobolev variable exponent spaces.

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来源期刊

Georgian Mathematical Journal 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Georgian Mathematical Journal was founded by the Georgian National Academy of Sciences and A. Razmadze Mathematical Institute, and is jointly produced with De Gruyter. The concern of this international journal is the publication of research articles of best scientific standard in pure and applied mathematics. Special emphasis is put on the presentation of results obtained by Georgian mathematicians.