2025年学术讲座预告（No.23）北京大学梅新群博士做报告

报告题目：The problem of prescribed area measure for convex capillary hypersurfaces.                        

报告摘要：We introduce a p-th capillary area measure for capillary convex bodies in the Euclidean half-space, which seeks to find a capillary convex body with a prescribed capillary -surface area measure in the Euclidean half-space. This formulation provides a natural Robin boundary analogue of the classical -Minkowski problem introduced by Lutwak.We resolve the capillary Lp-Minkowski problem in the smooth category by reducing it to a Monge-Ampère equation with a Robin boundary condition on the unit spherical cap.This work was completed in collaboration with Prof. Guofang Wang and Dr. Liangjun Weng.

报告人：梅新群，北京大学在站博士后。

报告时间：2025年7月13日15:30

报告地点： 修远楼A栋604

主办单位：湖北民族大学数学与统计学院

联系人：牟双

欢迎广大师生参加！