Lower semicontinuity of Kirchhoff-type energy functionals and spectral gaps on (sub)Riemannian manifolds

IF 0.7 4区数学 Q2 MATHEMATICS

Topological Methods in Nonlinear Analysis Pub Date : 2023-07-16 DOI:10.12775/tmna.2022.034

Csaba Farkas, S. Kajántó, C. Varga

引用次数: 0

Abstract

In this paper we characterize the sequentially weakly lower semicontinuity of the parameter-depending energy functional associated with the critical Kirchhoff problem in context of (sub)Riemannian manifolds. We also present some spectral gap and convexity results.

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(次)黎曼流形上kirchhoff型能量泛函的下半连续性和谱隙

在（子）黎曼流形中，我们刻画了与临界Kirchhoff问题相关的依赖于参数的能量泛函的顺序弱下半连续性。我们还给出了一些谱间隙和凸性的结果。

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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来源期刊

Topological Methods in Nonlinear Analysis 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Topological Methods in Nonlinear Analysis (TMNA) publishes research and survey papers on a wide range of nonlinear analysis, giving preference to those that employ topological methods. Papers in topology that are of interest in the treatment of nonlinear problems may also be included.