Second order estimates for $χ$-semi convex solutions of Hessian equations on Hermitian manifolds
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918096685498368 |
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| author | Chen, Xiaojuan Tu, Qiang Xiang, Ni |
| author_facet | Chen, Xiaojuan Tu, Qiang Xiang, Ni |
| contents | In this paper, we establish the modified concavity inequality for complex Hessian equations
under the semi-convexity assumption inspired by Lu \cite{Lu23} and Zhang \cite{Z24} for real case. Then second order estimates for admissible solutions of complex Hessian equations on compact Hermitian manifolds with both sides of equations depending on gradient terms are obtained by taking advantage of the crucial inequality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_01017 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Second order estimates for $χ$-semi convex solutions of Hessian equations on Hermitian manifolds Chen, Xiaojuan Tu, Qiang Xiang, Ni Analysis of PDEs In this paper, we establish the modified concavity inequality for complex Hessian equations under the semi-convexity assumption inspired by Lu \cite{Lu23} and Zhang \cite{Z24} for real case. Then second order estimates for admissible solutions of complex Hessian equations on compact Hermitian manifolds with both sides of equations depending on gradient terms are obtained by taking advantage of the crucial inequality. |
| title | Second order estimates for $χ$-semi convex solutions of Hessian equations on Hermitian manifolds |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2501.01017 |