Trudinger-Moser type inequalities with a symmetric conical metric and a symmetric potential

被引：0
|
作者：
de Souza, Manasses X. [1 ]
机构：
[1] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, Paraiba, Brazil
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2022年 / 223卷
关键词：
Trudinger-Moser inequality; Blow-up analysis; Conical singularity; EXTREMAL-FUNCTIONS; ELLIPTIC EQUATION; SURFACES;
D O I：
10.1016/j.na.2022.113030
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let (M, g) be a closed Riemann surface, where the metric g has certain conical singularities at finite points. Suppose Gamma is a group with elements of isometrics acting on (M, g). In this paper, Trudinger-Moser inequalities involving Gamma and the operador Delta(g) + V are established, where Delta(g) denotes the Laplace-Beltrami operator associated to g and the potential V : M -> (0, infinity) belongs to a class of symmetric and continuous functions. Moreover, via the method of blow-up analysis, the corresponding extremals are also obtained. (C) 2022 Elsevier Ltd. All rights reserved.
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页数：23
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