10-26【周恒宇】腾讯会议 偏微分方程系列报告

时间:2022-10-19

报告人:周恒宇 重庆大学


报告地点:腾讯会议 会议号:684199194


报告时间: 10月26日14:00-15:00


报告题目:The Dirichlet problem of a class of prescribed mean curvature equations in Riemannian manifolds


报告摘要:In this talk we discuss the Dirichlet problem of a class of prescribed mean curvature (PMC) equations in Riemannian manifolds. Its solution gives a PMC graph in product manifolds whose mean curvature has zero derivatives concerning the height. Inspired by Schoen-Yau's blow-up method in the proof of positive mass theorems, we proposed an Nc-f property. Under the Nc-f property and a natural boundary condition, a blow-up process of auxiliary Dirichlet problems will yield the solution of the corresponding Dirichlet problems.