Sharp Trudinger-Moser-Adams inequalities and existence and non-existence of their extremals

发布时间：2022-07-04 作者：浏览次数：

Speaker:	陈露	DateTime:	2022年7月7日（周四）下午2：30-3：30
Brief Introduction to Speaker: 报告人简介:陈露，北京理工大学数学与统计学院副研究员，2018年博士毕业于北京师范大学，2019年在意大利访问究几何泛函不等式及非线性椭圆方程的研究，相关结果发表于Adv. Math, Trans比萨高师Malchiodi教授。长期致力于研AMS J Fund. Anal, Calc. Var PDEs，中国科学等国际重要学术期刊。		Place:	腾讯会议: 988- 647-520
Abstract:Trudinger -Mloser inequalities as the border line case of Sobolevinequalities have important applications in the fields of geometric analysis and PDEs. In this talk, I will give a survey about the history of Trudinger -Moser inequality and its important role in prescribing curvature problem and Schrodinger -equation with the critical exponential growth. Then I will present some new progress on sharp Trudinger -Moser inequalities including Trudinger- -Moser involving degenerate potential Finally， Existence and non-existence for extremals of critical Trudinger- -Moser inequality on bounded domain and whole space will also be discussed.