题目：Stability on two types of partitioning problems

报告人：夏超教授，厦门大学

摘要：In this talk, two geometric variational problems, so-called partitioning problems for convex 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. We study the stability problem, namely, the second variation for area functional is nonnegative under two types of admissible deformations. We show the uniqueness result for stable type-I or type-II stationary hypersurfaces in a Euclidean ball. This talk is based on joint works with Guofang Wang, and Jinyu Guo respectively.

时间(2nd Time)：6月13日（周四）上午10:30--11:30

地点：首都师大新教2楼 827 教室

联系人：胥世成

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