具有超线性不定摄动的奇异双相特征值问题

IF 1.3 2区数学 Q1 MATHEMATICS

Nonlinear Analysis-Theory Methods & Applications Pub Date : 2025-09-08 DOI:10.1016/j.na.2025.113941

Jiangfeng Han , Zhenhai Liu , Nikolaos S. Papageorgiou

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引用次数: 0

摘要

我们考虑一个由双相微分算子驱动的狄利克雷问题和一个具有参数奇异项和不定超线性摄动联合效应的反应。摄动的超线性条件是非常普遍的。利用变分工具、截断和比较技术以及临界群，证明了一个参数全局的存在性和多重性结果（分岔型结果）。

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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A singular double phase eigenvalue problem with a superlinear indefinite perturbation

We consider a Dirichlet problem driven by a double phase differential operator and a reaction which exhibits the combined effects of a parametric singular term and of an indefinite superlinear perturbation. The superlinearity condition on the perturbation is very general. Using variational tools, truncation and comparison techniques and critical groups, we prove an existence and multiplicity result which is global in the parameter (bifurcation-type result).

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来源期刊

Nonlinear Analysis-Theory Methods & Applications 数学-数学

CiteScore

3.30

自引率

0.00%

发文量

265

审稿时长

60 days

期刊介绍： Nonlinear Analysis focuses on papers that address significant problems in Nonlinear Analysis that have a sustainable and important impact on the development of new directions in the theory as well as potential applications. Review articles on important topics in Nonlinear Analysis are welcome as well. In particular, only papers within the areas of specialization of the Editorial Board Members will be considered. Authors are encouraged to check the areas of expertise of the Editorial Board in order to decide whether or not their papers are appropriate for this journal. The journal aims to apply very high standards in accepting papers for publication.