Hessian estimates for the sigma-2 equation in dimension four
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866913595911045120 |
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| author | Shankar, Ravi Yuan, Yu |
| author_facet | Shankar, Ravi Yuan, Yu |
| contents | We derive a priori interior Hessian estimates and interior regularity for the $σ_2$ equation in dimension four. Our method provides respectively a new proof for the corresponding three dimensional results and a Hessian estimate for smooth solutions satisfying a dynamic semi-convexity condition in higher $n\ge 5$ dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_12587 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Hessian estimates for the sigma-2 equation in dimension four Shankar, Ravi Yuan, Yu Analysis of PDEs We derive a priori interior Hessian estimates and interior regularity for the $σ_2$ equation in dimension four. Our method provides respectively a new proof for the corresponding three dimensional results and a Hessian estimate for smooth solutions satisfying a dynamic semi-convexity condition in higher $n\ge 5$ dimensions. |
| title | Hessian estimates for the sigma-2 equation in dimension four |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2305.12587 |