The Compactness of Extremals for a Singular Hardy-Trudinger-Moser Inequality  

作　　者：LUO Qianjin LI Xiaomeng 

机构地区：[1]College of Education,Wenzhou University,Wenzhou 325035,China [2]School of Mathematics and Big Data,Chaohu University,Hefei,238000,China

出　　处：《Journal of Partial Differential Equations》2024年第3期235-250,共16页偏微分方程（英文版）

基　　金：supported by the Natural Science Foundation of China(12201234);the Natural Science Foundation of Anhui Province of China(2008085MA07).

摘　　要：Motivated by a recent work of Wang-Yang[19],we study the compactness of extremals[ug]for singular Hardy-Trudinger-Moser inequalities due to Hou[24].In particular,by the method of blow-up analysis,we conclude that,up to a subsequence,ug converges to an extremal in some sense asβtends to zero.

关 键 词：COMPACTNESS Hardy-Trudinger-Moser inequality blow-up analysis 

分 类 号：O175.25[理学—数学] O176.3[理学—基础数学]