题目：The Dirichlet Problem for Minimal Graphs of Higher Codimension

时间：2016年7月25日（周一）下午16:10-17:10

报告人：杨翎(复旦大学)

地点：致远楼107室

报告摘要： It will be shown that many of the deep and beautiful results for minimal graphs in codimension 1 fail utterly in higher codimensions. More precisely,

(1) For the case of dimension 2, the Dirichlet problem is solvable, but these solutions are not unique in general.

(2) When the dimension is no less than 4, the Dirichlet problem is not even solvable.

(3) The minimal graphs need not even be stable.

(4) There exist Lipschitz solutions to minimal surface equations which is not smooth.