几何分析系列报告之05【蒋国盛】

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.