Pogorelov type $C^2$ estimates for sum Hessian equations
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913785872121856 |
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| author | Li, Pengfei Ren, Changyu |
| author_facet | Li, Pengfei Ren, Changyu |
| contents | In this paper, We establish Pogorelov type $C^2$ estimates for the admissible solutions with $σ_k(D^2u)$ bounded from below of Sum Hessian equations. We also proved the lower bounded condition can be removed when $k = n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06711 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Pogorelov type $C^2$ estimates for sum Hessian equations Li, Pengfei Ren, Changyu Analysis of PDEs In this paper, We establish Pogorelov type $C^2$ estimates for the admissible solutions with $σ_k(D^2u)$ bounded from below of Sum Hessian equations. We also proved the lower bounded condition can be removed when $k = n$. |
| title | Pogorelov type $C^2$ estimates for sum Hessian equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2504.06711 |