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

 

报告人李奇睿 教授(浙江大学)   

  On the Lp-Minkowski problem with super-critical exponents

  2022.07.20(星期三)下午14:00-15:00

 点:腾讯会议:443-489-771

  要:The Lp-Minkowski problem deals with the existence of closed convex hypersurface with prescribed p-area measure. It was known that the problem admits a solution in sub-critical case p>-n-1 and does not have a solution in general in the critical case p=-n-1. But it remains unknown in the super-critical case p<-n-1. In this talk, we introduce new ideas to solve the problem for all super-critical exponents. A crucial ingredient in the proof is a topological method based on the calculation of the homology of a topological space of ellipsoids. The talk is based on recent joint work with Qiang Guang and Xu-Jia Wang.

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