Interior Hessian estimates for sum Hessian quotient equation
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918169476595712 |
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| author | Ren, Changyu Wang, Ziyi |
| author_facet | Ren, Changyu Wang, Ziyi |
| contents | This paper is devoted to the interior $C^2$ estimates for a class of sum Hessian quotient equations. For $0\leq l<k<n$, we establish the interior estimates and the Pogorelov type estimates. In the case $k=n$, we obtain a weaker Pogorelov type estimate for $0\leq l<n-1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_21301 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Interior Hessian estimates for sum Hessian quotient equation Ren, Changyu Wang, Ziyi Analysis of PDEs 35B45 This paper is devoted to the interior $C^2$ estimates for a class of sum Hessian quotient equations. For $0\leq l<k<n$, we establish the interior estimates and the Pogorelov type estimates. In the case $k=n$, we obtain a weaker Pogorelov type estimate for $0\leq l<n-1$. |
| title | Interior Hessian estimates for sum Hessian quotient equation |
| topic | Analysis of PDEs 35B45 |
| url | https://arxiv.org/abs/2510.21301 |