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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.13130 |
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| _version_ | 1866910903116496896 |
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| author | Kolodziej, Slawomir Nguyen, Ngoc Cuong |
| author_facet | Kolodziej, Slawomir Nguyen, Ngoc Cuong |
| contents | We prove that the Dirichlet problem for the complex Hessian equation has the Hölder continuous solution provided it has a subsolution with this property. Compared to the previous result of Benali-Zeriahi and Charabati-Zeriahi we remove the assumption on the finite total mass of the measure on the right hand side. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_13130 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A remark on the Hölder regularity of solutions to the complex Hessian equation Kolodziej, Slawomir Nguyen, Ngoc Cuong Complex Variables We prove that the Dirichlet problem for the complex Hessian equation has the Hölder continuous solution provided it has a subsolution with this property. Compared to the previous result of Benali-Zeriahi and Charabati-Zeriahi we remove the assumption on the finite total mass of the measure on the right hand side. |
| title | A remark on the Hölder regularity of solutions to the complex Hessian equation |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2407.13130 |