Bernstein theorems for nonlinear geometric PDEs
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929452154355712 |
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| author | Mooney, Connor |
| author_facet | Mooney, Connor |
| contents | In this expository article we revisit the Bernstein problem for several geometric PDEs including the minimal surface, Monge-Ampère, and special Lagrangian equations. We also discuss the minimal surface system where appropriate. The article is based on a lecture series given by the author for the inaugural European Doctorate School of Differential Geometry, held in Granada in June 2024. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_11903 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bernstein theorems for nonlinear geometric PDEs Mooney, Connor Differential Geometry Analysis of PDEs In this expository article we revisit the Bernstein problem for several geometric PDEs including the minimal surface, Monge-Ampère, and special Lagrangian equations. We also discuss the minimal surface system where appropriate. The article is based on a lecture series given by the author for the inaugural European Doctorate School of Differential Geometry, held in Granada in June 2024. |
| title | Bernstein theorems for nonlinear geometric PDEs |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2407.11903 |