Hessian estimates for special Lagrangian equation by doubling
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914283793678336 |
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| author | Shankar, Ravi |
| author_facet | Shankar, Ravi |
| contents | New, doubling proofs are given for the interior Hessian estimates of the special Lagrangian equation. These estimates were originally shown by Chen-Warren-Yuan in CPAM 2009 and Wang-Yuan in AJM 2014. This yields a higher codimension analogue of Korevaar's 1987 pointwise proof of the gradient estimate for minimal hypersurfaces, without using the Michael-Simon mean value inequality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_01034 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hessian estimates for special Lagrangian equation by doubling Shankar, Ravi Analysis of PDEs Differential Geometry New, doubling proofs are given for the interior Hessian estimates of the special Lagrangian equation. These estimates were originally shown by Chen-Warren-Yuan in CPAM 2009 and Wang-Yuan in AJM 2014. This yields a higher codimension analogue of Korevaar's 1987 pointwise proof of the gradient estimate for minimal hypersurfaces, without using the Michael-Simon mean value inequality. |
| title | Hessian estimates for special Lagrangian equation by doubling |
| topic | Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2401.01034 |