分数 p-Laplacian 椭圆 Dirichlet 问题

IF 0.8 4区数学 Q2 MATHEMATICS Georgian Mathematical Journal Pub Date : 2024-02-20 DOI:10.1515/gmj-2024-2008

David Barilla, Martin Bohner, Giuseppe Caristi, Fariba Gharehgazlouei, Shapour Heidarkhani

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引用次数: 0

摘要

在本文中，我们考虑了一个分数 p-Laplacian 椭圆 Dirichlet 问题，该问题拥有一个控制参数，其 Lipschitz 非线性阶数为 p - 1 {p-1} 。通过变分法和临界点理论证明了弱解的多重性。我们研究了该问题至少存在三个解。

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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Fractional p-Laplacian elliptic Dirichlet problems

In this paper, we consider a fractional p-Laplacian elliptic Dirichlet problem that possesses one control parameter and has a Lipschitz nonlinearity order of p - 1

{p-1}

. The multiplicity of the weak solutions is proved by means of the variational method and critical point theory. We investigate the existence of at least three solutions to the problem.

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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.

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