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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.26402 |
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| _version_ | 1866911548229812224 |
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| author | Hai, Le Mau Van Phu, Nguyen Tung, Trinh |
| author_facet | Hai, Le Mau Van Phu, Nguyen Tung, Trinh |
| contents | In this paper, we investigate the continuity of solutions to the Dirichlet problem for complex Hessian-type equations associated with $(ω, m)-β$-subharmonic functions on a ball in $\mathbb{C}^n$, where $
β=d d^c\|z\|^2=\frac{i}{2} \sum_{j=1}^n d z_j \wedge d \bar{z}_j $
is denoted the flat metric on $\mathbb{C}^n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_26402 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Continuous solutions of Dirichlet problem to Hessian type equations for $(ω,m)-β$-subharmonic functions on a ball in $\mathbb{C}^n$ Hai, Le Mau Van Phu, Nguyen Tung, Trinh Complex Variables 32U05 In this paper, we investigate the continuity of solutions to the Dirichlet problem for complex Hessian-type equations associated with $(ω, m)-β$-subharmonic functions on a ball in $\mathbb{C}^n$, where $ β=d d^c\|z\|^2=\frac{i}{2} \sum_{j=1}^n d z_j \wedge d \bar{z}_j $ is denoted the flat metric on $\mathbb{C}^n$. |
| title | Continuous solutions of Dirichlet problem to Hessian type equations for $(ω,m)-β$-subharmonic functions on a ball in $\mathbb{C}^n$ |
| topic | Complex Variables 32U05 |
| url | https://arxiv.org/abs/2603.26402 |