Fully non-linear elliptic equations on complex manifolds
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912273949261824 |
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| author | Yuan, Rirong |
| author_facet | Yuan, Rirong |
| contents | In this paper, we study a broad class of fully nonlinear elliptic equations on Hermitian manifolds. On one hand, under the optimal structural assumptions we derive $C^{2,α}$-estimate for solutions of the equations on closed Hermitian manifolds. On the other hand, we treat the Dirichlet problem. In both cases, we prove the existence theorems with unbounded condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_12350 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fully non-linear elliptic equations on complex manifolds Yuan, Rirong Analysis of PDEs Differential Geometry In this paper, we study a broad class of fully nonlinear elliptic equations on Hermitian manifolds. On one hand, under the optimal structural assumptions we derive $C^{2,α}$-estimate for solutions of the equations on closed Hermitian manifolds. On the other hand, we treat the Dirichlet problem. In both cases, we prove the existence theorems with unbounded condition. |
| title | Fully non-linear elliptic equations on complex manifolds |
| topic | Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2404.12350 |