LOWER SEMICONTINUITY OF KIRCHHOFF-TYPE ENERGY FUNCTIONALS AND SPECTRAL GAPS ON (SUB)RIEMANNIAN MANIFOLDS

被引：0
|
作者：
Farkas, Csaba [1 ]
Kajanto, Sandor [2 ]
Varga, Csaba [2 ]
机构：
[1] Sapientia Hungarian Univ Transylvania, Dept Math & Comp Sci, Targu Mures, Romania
[2] Babes Bolyai Univ, Fac Math & Comp Sci, Cluj Napoca, Romania
来源：
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2023年 / 61卷 / 02期
关键词：
Key words and phrases. Critical Kirchhoff-type energy functional; spectral gaps; Riemann-ian manifolds; Heisenberg groups; MULTIPLE POSITIVE SOLUTIONS; ELLIPTIC EQUATION;
D O I：
10.12775/TMNA.2022.034
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 mani-folds. We also present some spectral gap and convexity results.
引用
收藏
页码：743 / 760
页数：18
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