A Trudinger-Moser Inequality Involving Lp-norm on a Closed Riemann Surface  

作　　者：Meng Jie ZHANG 

机构地区：[1]School of Mathematics,Renmin University of China,Beijing 100872,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2021年第4期538-550,共13页数学学报（英文版）

基　　金：Supported by the Outstanding Innovative Talents Cultivation Funded Programs 2020 of Renmin University of China。

摘　　要：In this paper,using the method of blow-up analysis,we obtained a Trudinger–Moser inequality involving L^(p)-norm on a closed Riemann surface and proved the existence of an extremal function for the corresponding Trudinger–Moser functional.

关 键 词：Trudinger–Moser inequality Riemann surface blow-up analysis extremal function 

分 类 号：O186.1[理学—数学]