题目：Alexandrov’s theorem for anisotropic capillary hypersurfaces in half-space

报告人：夏超 （厦门大学）

时间：2023年3月14日 10:00-12:00

方式：蒙民伟楼1105室

摘要：The minimizers for surface free energy functional, which is the sum of anisotropic surface tension (or parametric elliptic functional) and the wetting energy functional, in half-space are known to be truncated Wulff shapes. The anisotropic capillary hypersurfaces arise as the critical points of the free energy functional under volume constraint.

In this talk, we prove an Alexandrov-type theorem saying that any embedded anisotropic capillary hypersurfaces in half-space are truncated Wulff shapes. The main ingredients are Heintze-Karcher-type inequality and Minkowski-type formula.

The talk is based on a joint work with Xiaohan Jia, Guofang Wang and Xuwen Zhang.

邀请人：陈学长  老师