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

Pub Date : 2023-07-16 DOI:10.12775/tmna.2022.034
Csaba Farkas, S. Kajántó, C. Varga
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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。
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