20220426 陈露 Sharp Trudinger-Moser inequality and bubbling analysis for its positive critical point

报告题目：Sharp Trudinger-Moser inequality and bubbling analysis for its positive critical point

报告人： 陈露

工作单位：北京理工大学

时间：    2022年4月26日（星期二）上午9:00-10:00

地点：    腾讯会议 会议号324-438-681  密码：220426

邀请人：李沁峰

摘要： 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-equation with the critical exponential growth.  Then I will present some new progress on sharp Trudinger-Moser inequalities including Trace Trudinger-Moser inequalities, Trudinger-Moser involving degenerate potential and affine Trudinger-Moser inequalities, etc. Finally, Quantization theory for the critical point of Trudinger-Moser functional in compact manifold and non-compact manifold will also discussed in this talk.

报告人简介: 陈露，北京理工大学副研究员，在Adv. Math.，Calc. Var. Partial Differential Equations，J. Funct. Anal.，Trans. AMS， Pacific J. Math等国际知名期刊上发表论文多篇。