Finsler Trudinger-Moser inequalities on R^(2)  

作　　者：Nguyen Tuan Duy Le Long Phi 

机构地区：[1]Faculty of Economics and Law,University of Finance-Marketing,HCM City 7220072200,Vietnam [2]Institute of Research and Development,Duy Tan University,Da Nang 550000,Vietnam

出　　处：《Science China Mathematics》2022年第9期1803-1826,共24页中国科学：数学（英文版）

摘　　要：The first aim of this article is to study the sharp singular(two-weight)Trudinger-Moser inequalities with Finsler norms on R^(2).The second goal is to propose a different approach to study a vanishing-concentration-compactness principle for the Trudinger-Moser inequalities and use this to investigate the existence and the nonexistence of the maximizers for the Trudinger-Moser inequalities in the subcritical regions.Finally,by applying our Finsler Trudinger-Moser inequalities to suitable Finsler norms,we derive the sharp affine Trudinger-Moser inequalities which are essentially stronger than the Trudinger-Moser inequalities with standard energy of the gradient.

关 键 词：Trudinger-Moser inequality Finsler norm sharp constants extremal functions affine energy 

分 类 号：O178[理学—数学]