Doubling Argument of the Hessian Estimate for the Special Lagrangian Equation on General Phases with Constraints
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912701235593216 |
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| author | Fung, Cheuk Yan |
| author_facet | Fung, Cheuk Yan |
| contents | In this paper, we establish a doubling argument to obtain Hessian estimates for the special Lagrangian equation under general phase constraints. In particular, our approach does not rely on the Michael-Simon mean value inequality. As an intermediate step, we also establish Alexandrov-type theorems, which may be of independent interest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_07757 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Doubling Argument of the Hessian Estimate for the Special Lagrangian Equation on General Phases with Constraints Fung, Cheuk Yan Analysis of PDEs Differential Geometry 35J60 In this paper, we establish a doubling argument to obtain Hessian estimates for the special Lagrangian equation under general phase constraints. In particular, our approach does not rely on the Michael-Simon mean value inequality. As an intermediate step, we also establish Alexandrov-type theorems, which may be of independent interest. |
| title | Doubling Argument of the Hessian Estimate for the Special Lagrangian Equation on General Phases with Constraints |
| topic | Analysis of PDEs Differential Geometry 35J60 |
| url | https://arxiv.org/abs/2511.07757 |