分数 p-Laplacian 椭圆 Dirichlet 问题

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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