03-30【蒋国盛】管研楼1418 几何分析系列报告

发布者:石艳慈发布时间:2023-03-28浏览次数:12

Speaker: 蒋国盛(北京师范大学)


Time:15:00-16:00 


Place:Management Building,Classroom 1418 


Title:Stability of Edelen-Wang's Bernstein type theorem for the minimal surface equation


Abstract: In this talk, we focus on the uniqueness result of the Dirichlet problem for the minimal surface equation on an unbounded domain. The existence result was established by Massari and Miranda when the domain is convex. However, the uniqueness may fail even in 2-dimensional case if the boundary data grows too fast at infinity. For any bounded and uniformly continuous boundary data, the uniqueness is available on an unbounded and convex domain provided the domain is not a half Euclidean space. This is based on the joint work with Zhehui Wang and Jintian Zhu.