The Pogorelov estimates for degenerate curvature equations
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866929309742006272 |
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| author | Jiao, Heming Jiao, Yang |
| author_facet | Jiao, Heming Jiao, Yang |
| contents | We establish the Pogorelov type estimates for degenerate prescribed k-curvature equations as well as k-Hessian equations. Furthermore,we investigate the interior C1,1 regularity of the solutions for Dirichlet problems. These techniques also enable us to improve the existence theorem for an asymptotic Plateau type problem in hyperbolic space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_00863 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The Pogorelov estimates for degenerate curvature equations Jiao, Heming Jiao, Yang Analysis of PDEs We establish the Pogorelov type estimates for degenerate prescribed k-curvature equations as well as k-Hessian equations. Furthermore,we investigate the interior C1,1 regularity of the solutions for Dirichlet problems. These techniques also enable us to improve the existence theorem for an asymptotic Plateau type problem in hyperbolic space. |
| title | The Pogorelov estimates for degenerate curvature equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2207.00863 |