Trudinger–Moser Inequalities on a Closed Riemann Surface with a Symmetric Conical Metric  

作　　者：Yu FANG Yun Yan YANG 

机构地区：[1]College of Teacher Education,Quzhou University,Quzhou 324003,P.R.China [2]Department of Mathematics,Renmin University of China,Beijing 100872,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2024年第9期2263-2284,共22页数学学报（英文版）

基　　金：Supported by Zhejiang Provincial Natural Science Foundation of China(Grant No.LQ23A010001)。

摘　　要：This is a continuation of our previous work(Ann.Sc.Norm.Super.Pisa Cl.Sci.,20,1295–1324,2020).Let(Σ,g)be a closed Riemann surface,where the metric g has conical singularities at finite points.Suppose G is a group whose elements are isometries acting on(Σ,g).Trudinger–Moser inequalities involving G are established via the method of blow-up analysis,and the corresponding extremals are also obtained.This extends previous results of Chen(Proc.Amer.Math.Soc.,1990),Iula–Manicini(Nonlinear Anal.,2017),and the authors(2020).

关 键 词：Trudinger-Moser inequality blow-up analysis conical singularity 

分 类 号：O186.12[理学—数学]