偏微分方程研讨会：The Alexandrov-Fenchel inequality for convex hypersurfaces with capillary boundary in a ball

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.