Stability of Sobolev inequality and Sobolev equation in the endpoint case
非线性分析专题报告
报告题目(Title):Stability of Sobolev inequality and Sobolev equation in the endpoint case
报告人(Speaker):陈露(北京理工大学)
地点(Place):教三107
时间(Time):2026年4月28日(周二)13:30-14:15
邀请人(Inviter):唐仲伟
报告摘要
In this talk, I will first revisit some new progress on the optimal stability of geometric inequality including Sobolev inequality, HLS inequality and fractional Sobolev inequality etc. Then I will present our recent results on the stability of Sobolev inequality and Sobolev equation in the end-point case. Finally, I will explain the relationship between these quantitative stability inequality and Aubin' conjecture, Chang-Yang conjecture.