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

页码：743 / 760

页数：18

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