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Dirichlet boundary values on Euclidean balls with infinitely many solutions for the minimal surface system
| Content Provider | Semantic Scholar |
|---|---|
| Author | Xu, Xiaowei Yang, Ling Zhang, Yongsheng |
| Copyright Year | 2019 |
| Abstract | 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. |
| Starting Page | 266 |
| Ending Page | 300 |
| Page Count | 35 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.matpur.2019.01.019 |
| Volume Number | 129 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1905.08532v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/j.matpur.2019.01.019 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
