A Weighted Flow related to a Trudinger–Moser Functional on Closed Riemann Surface  

作　　者：Peng Xiu YU 

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

出　　处：《Acta Mathematica Sinica,English Series》2024年第9期2244-2262,共19页数学学报（英文版）

基　　金：supported by the Outstanding Innovative Talents Cultivation Funded Programs 2023 of Renmin University of China。

摘　　要：In this paper,with(Σ,g)being a closed Riemann surface,we analyze the possible concentration behavior of a heat flow related to the Trudinger–Moser energy.We obtain a long time existence for the flow.And along some sequence of times t_(k)→+∞,we can deduce the convergence of the flow in H2(Σ).Furthermore,the limit function is a critical point of the Trudinger–Moser functional under certain constraint.

关 键 词：Trudinger-Moser inequality global convergence heat flow 

分 类 号：O186.12[理学—数学]