Interior $C^2$ estimates for a class of sum Hessian equation
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915100681568256 |
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| author | Ren, Changyu Wang, Ziyi |
| author_facet | Ren, Changyu Wang, Ziyi |
| contents | In this paper, we mainly study the interior $C^2$ estimates for a class of sum Hessian equations. We establish the interior estimates and the Pogorelov type estimates for $0<k<n$. If $k=n$, we derive a weaker Pogorelov type estimates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_06992 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Interior $C^2$ estimates for a class of sum Hessian equation Ren, Changyu Wang, Ziyi Analysis of PDEs In this paper, we mainly study the interior $C^2$ estimates for a class of sum Hessian equations. We establish the interior estimates and the Pogorelov type estimates for $0<k<n$. If $k=n$, we derive a weaker Pogorelov type estimates. |
| title | Interior $C^2$ estimates for a class of sum Hessian equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2501.06992 |