Viscosity solution to complex Hessian quotient equations
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917904305356800 |
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| author | Cheng, Jingrui Xu, Yulun |
| author_facet | Cheng, Jingrui Xu, Yulun |
| contents | In this paper, we prove the existence of viscosity solutions to complex Hessian equations on compact Hermitian manifolds, assuming the existence of a strict subsolution in the viscosity sense. The results cover the complex Hessian quotient equations. This generalized our previous results where the equation needs to satisfy a determinant domination condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17016 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Viscosity solution to complex Hessian quotient equations Cheng, Jingrui Xu, Yulun Analysis of PDEs In this paper, we prove the existence of viscosity solutions to complex Hessian equations on compact Hermitian manifolds, assuming the existence of a strict subsolution in the viscosity sense. The results cover the complex Hessian quotient equations. This generalized our previous results where the equation needs to satisfy a determinant domination condition. |
| title | Viscosity solution to complex Hessian quotient equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2501.17016 |