An Iterative Approach to the Complex Monge-Ampère Eigenvalue Problem
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908454968360960 |
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| author | Zeriahi, Ahmed |
| author_facet | Zeriahi, Ahmed |
| contents | We present an iterative approach to approximate the solution to the Dirichlet complex Monge-Ampère eigenvalue problem on a bounded strictly pseudoconvex domain in $\C^n$. This approach is inspired by a similar approach initiated by F. Abedin, J. Kitagawa who considered the real Monge-Ampère operator on a strictly convex domain in $\R^N$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_13273 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An Iterative Approach to the Complex Monge-Ampère Eigenvalue Problem Zeriahi, Ahmed Complex Variables Analysis of PDEs 31C45, 32U15, 32U40, 32W20, 35J66, 35J96 We present an iterative approach to approximate the solution to the Dirichlet complex Monge-Ampère eigenvalue problem on a bounded strictly pseudoconvex domain in $\C^n$. This approach is inspired by a similar approach initiated by F. Abedin, J. Kitagawa who considered the real Monge-Ampère operator on a strictly convex domain in $\R^N$. |
| title | An Iterative Approach to the Complex Monge-Ampère Eigenvalue Problem |
| topic | Complex Variables Analysis of PDEs 31C45, 32U15, 32U40, 32W20, 35J66, 35J96 |
| url | https://arxiv.org/abs/2507.13273 |