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2025年学术讲座预告(No.23)北京大学梅新群博士做报告

时间:2025-07-06  编辑:lixy  点击:

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:202571315:30

报告地点: 修远楼A604

主办单位:九游会国际数学与统计学院

联系人:牟双

欢迎广大师生参加!

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学术交流

2025年学术讲座预告(No.23)北京大学梅新群博士做报告

时间:2025-07-06  编辑:lixy  点击:

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:202571315:30

报告地点: 修远楼A604

主办单位:九游会国际数学与统计学院

联系人:牟双

欢迎广大师生参加!