A constant rank theorem for special Lagrangian equations
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929363548635136 |
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| author | Ogden, W. Jacob Yuan, Yu |
| author_facet | Ogden, W. Jacob Yuan, Yu |
| contents | Constant rank theorems are obtained for saddle solutions to the special Lagrangian equation and the quadratic Hessian equation. The argument also leads to Liouville type results for the special Lagrangian equation with subcritical phase, matching the known rigidity results for semiconvex entire solutions to the quadratic Hessian equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_18603 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A constant rank theorem for special Lagrangian equations Ogden, W. Jacob Yuan, Yu Analysis of PDEs Differential Geometry 35J60, 35B08, 35B50 Constant rank theorems are obtained for saddle solutions to the special Lagrangian equation and the quadratic Hessian equation. The argument also leads to Liouville type results for the special Lagrangian equation with subcritical phase, matching the known rigidity results for semiconvex entire solutions to the quadratic Hessian equation. |
| title | A constant rank theorem for special Lagrangian equations |
| topic | Analysis of PDEs Differential Geometry 35J60, 35B08, 35B50 |
| url | https://arxiv.org/abs/2405.18603 |