Special Session 14: The recent progress on Allen-Cahn equation, Liouville equation and critical exponent equation

Mean field type equations and the applications in Aubin-Onofri type inequalities
Xie Weihong
Central South University
Peoples Rep of China
Co-Author(s):    Changfeng Gui and Yeyao Hu
Abstract:
In this talk, we will first review Aubin-Onofri type inequality on the sphere. Then higher dimensional analogues will be presented and some very recent progress will be introduced. The talk is based on collaborations with Changfeng Gui and Yeyao Hu.