中科院数学与系统科学研究院
数学研究所
偏微分方程研讨会
报告人： Liangjun Weng( Shanghai Jiao Tong University)
题 目：The Alexandrov-Fenchel inequality for convex hypersurfaces with capillary boundary in a ball
时 间：2021.10.29（星期五），10:00-11:30
地 点：思源楼S803室
摘 要：In this talk, we will discuss the relative Alexandrov -Fenchel inequality. Firstly we introduce the quermassintegrals for convex hypersurfaces with capillary boundary in the unit Euclidean ball and derive its first variational formula. Then by using a locally constrained nonlinear curvature flow, which preserves the n-th quermassintegral and non-decreases the k-th quermassintegral, we obtain the Alexandrov-Fenchel inequality for convex hypersurfaces with capillary boundary in unit ball. This talk is based on the recent joint work with Prof. Chao XIA.