报告时间：2022年7月8日（星期五）14:30-15:30

报告地点：腾讯会议：990101182

报 告 人：陈露 副研究员

工作单位：北京理工大学

举办单位：数学学院

报告简介：Trudinger-Moser inequalities as the border line case of Sobolev inequalities 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 quation with the critical exponential growth.  Then I will present some new progress on sharp Trudinger-Moser inequalities including Trudinger-Moser involving degenerate potential and Trudinger-Moser inequalities on complete non-compact manifold, etc. Finally, Existence and non-existence for extremals of critical Trudinger-Moser inequality on bounded domain and whole space will also be discussed. The talk is based on joint work with G. Lu and M.Zhu.

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年在意大利访问比萨高师Malchiodi教授。长期致力于研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. AMS, J. Funct. Anal, Calc. Var PDEs，中国科学等国际重要学术期刊。