主 题: Geometry Analysis Seminars——On Lawson-Osserman constructions
报告人: Professor Yongsheng Zhang (Northeast Normal University)
时 间: 2017-11-08 13:30-15:30
地 点: Room 1418, Sciences Building No. 1
Abstract: The 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.
参考文献：
H. B. Lawson, Jr. and R. Osserman: Non-existence, non-uniqueness and irregularity of solutions to the minimal surface system. Acta Math. 139 (1977), 1-17.
W. Y. Ding and Y. Yuan: Resolving the singularities of the minimal Hopf cones. J. Partial Diff. Eqs. 19 (2006), 218-231.
X. W. Xu, L. Yang and Y. S. Zhang: On Lawson-Osserman constructions. arXiv: 1610.08162.
