Global regularity for the Dirichlet problem of Monge-Ampère equation in convex polytopes
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866913798220152832 |
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| author | Huang, Genggeng Shen, Weiming |
| author_facet | Huang, Genggeng Shen, Weiming |
| contents | We study the Dirichlet problem for Monge-Ampère equation in bounded convex polytopes. We give sharp conditions for the existence of global $C^2$ and $C^{2,α}$ convex solutions provided that a global $C^2$, convex subsolution exists. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_12987 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Global regularity for the Dirichlet problem of Monge-Ampère equation in convex polytopes Huang, Genggeng Shen, Weiming Analysis of PDEs We study the Dirichlet problem for Monge-Ampère equation in bounded convex polytopes. We give sharp conditions for the existence of global $C^2$ and $C^{2,α}$ convex solutions provided that a global $C^2$, convex subsolution exists. |
| title | Global regularity for the Dirichlet problem of Monge-Ampère equation in convex polytopes |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2504.12987 |