题目：Two types of partitioning problems in Euclidean balls

摘要：In this talk, two geometric variational problems, so-called partitioning problems for bounded domains will be discussed. Type-I is on area minimizing hypersurfaces with volume constraint and Type-II is on area minimizing ones with wetting area constraint. The stationary points for Type-I are free boundary CMC hypersurfaces while the ones for Type-II are minimal hypersurfaces with constant contact angle. When the bounded domain is a Euclidean ball, the global minimizers have been classified in 1970's. We will talk about the classification of the local minimizers for these problems. Moreover, we give Morse index estimate for such variational problems.

This talk is based on joint works with Guofang Wang and Jinyu Guo, respectively.

报告人：夏超，厦门大学教授，福建省闽江学者特聘教授。研究方向：微分几何中出现的椭圆及抛物型偏微分方程。

时间：2020年11月13日，星期五，10:30-11:30

地点：腾讯会议，会议ID：101 526 045

邀请人：李刚