On Lawson-Osserman constructions

Release:2017-11-23 Viewed:13


LecturerYongsheng ZhangNortheast Normal University

ThemeOn Lawson-Osserman constructions 

TimeNov. 30  2017    11Am-12Am

PlaceLecture room 3rd

AbstractThe 1977’ Acta paper by Lawson-Osserman studied the Dirichlet problem for minimal surfaces of high codimensions. Several astonishing results essentially distinct from the case of codimension 1 were obtained there. In particular, they found Lipschitz but non-C1 solutions to the problems associated to Hopf maps between unit spheres. Recently we made systematic developments and discovered certain interesting new phenomena on the existence, non-uniqueness, non-minimizing and minimizing properties of solutions to related Dirichlet problems. This talk is based on joint works with Xiaowei XU and Ling YANG.

 InviterXianfeng Wang