Multiplicity and profile of solutions for singularly perturbed Kirchhoff-type problems on closed manifolds

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-08-27 DOI:10.1016/j.jde.2025.113727

Xiaojin Bai, Hua Chen, Xiaochun Liu

引用次数: 0

Abstract

We investigate the existence of solutions for singularly perturbed Kirchhoff-type problems on a closed 3-dimensional Riemannian manifold, focusing on the relation between the number of solutions and the topological properties of the manifold. Our approach is based on the Lusternik–Schnirelmann category. We also provide a profile description of low energy solutions.

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闭流形上奇摄动kirchhoff型问题解的多重性和轮廓

研究了三维封闭黎曼流形上奇摄动kirchhoff型问题解的存在性，重点讨论了解的个数与流形拓扑性质的关系。我们的方法是基于Lusternik-Schnirelmann范畴。我们还提供了低能耗解决方案的概要描述。

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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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics