Applied Math Seminar- Mean field equation and its applications in Trudinger-Moser type inequalities
Fri, 9 February, 2024
3:00pm - 4:00pm
Speaker: Professor Yeyao Hu
Affiliation: Central South University, China
Time: Friday, 02/09, 3:00 PM -- 4:00 PM
Place: Phillips 640
Title: Mean field equation and its applications in Trudinger-Moser type inequalities
Abstract: In this talk, we will first review the resolution of the celebrated Chang-Yang conjecture on a sharp Trudinger-Moser type inequality on the two-dimensional sphere. Then higher dimensional analogues will be presented and some very recent progress will be introduced. We will also mention some related open problems that the audience might be interested in. The talk is based on joint works with Changfeng Gui (University of Macau) and Weihong Xie (Central South University).