A Dirichlet type problem for non-pluripolar complex Monge-Ampère equations
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866915137681620992 |
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| author | Do, Thai Duong Do, Hoang-Son Le, Van Tu Pham, Ngoc Thanh Cong |
| author_facet | Do, Thai Duong Do, Hoang-Son Le, Van Tu Pham, Ngoc Thanh Cong |
| contents | In this paper, we study a Dirichlet type problem for the non-pluripolar complex Monge - Ampère equation with prescribed singularity on a bounded domain of $\mathbb{C}^n$. We provide a local version for an existence and uniqueness theorem proved by Darvas, Di Nezza and Lu. Our work also extends a result of Ahag, Cegrell, Czyz and Pham. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_00937 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Dirichlet type problem for non-pluripolar complex Monge-Ampère equations Do, Thai Duong Do, Hoang-Son Le, Van Tu Pham, Ngoc Thanh Cong Complex Variables Analysis of PDEs 32U15, 32W20 In this paper, we study a Dirichlet type problem for the non-pluripolar complex Monge - Ampère equation with prescribed singularity on a bounded domain of $\mathbb{C}^n$. We provide a local version for an existence and uniqueness theorem proved by Darvas, Di Nezza and Lu. Our work also extends a result of Ahag, Cegrell, Czyz and Pham. |
| title | A Dirichlet type problem for non-pluripolar complex Monge-Ampère equations |
| topic | Complex Variables Analysis of PDEs 32U15, 32W20 |
| url | https://arxiv.org/abs/2407.00937 |