中科院数学与系统科学研究院
数学研究所
学术报告
偏微分方程研讨班
报告人：胡烨耀 （中南大学）
题 目：Mean field type equations and some related problems
时 间：2023.10.18（星期三）10:30-11:30
地 点：思源楼S813
摘 要：In this talk, we will first review the resolution of the celebrated Chang-Yang’s conjecture on a sharp Moser-Trudinger type inequality on the two-dimensional sphere. Then we recall the complete theory in dimension one and emphasize the key role played by mean field type equations. Moreover, 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.
附件：