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

作     者：Peng Xiu YU Peng Xiu YU

作者机构：School of MathematicsRenmin University of ChinaBeijing 100872P.R.China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2024年第40卷第9期

页      面：2244-2262页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

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

主　　题：Trudinger-Moser inequality global convergence heat flow 

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 *** obtain a long time existence for the *** 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.