Research Group:
Speaker:
Yongsheng Zhang
Institution:
Tongji University, Shanghai
Schedule:
Thursday, September 20, 2018 - 14:30
Location:
Luigi Stasi Seminar Room, ICTP
Abstract:
We make systematic developments on Lawson-Osserman constructions relating to the Dirichlet problem (over unit disks) for minimal surfaces of high codimension in their 1977' Acta paper. In particular, we show the existence of boundary functions for which infinitely many analytic solutions and at least one nonsmooth Lipschitz solution exist simultaneously. This newly-discovered amusing phenomenon enriches the understanding on the Lawson-Osserman philosophy.