Global regularity for the Dirichlet problem of Monge-Ampère equation in convex polytopes Article Swipe

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YOU? · · 2025 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2504.12987

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.

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2504.12987
PDF: https://arxiv.org/pdf/2504.12987
OA Status: green
OpenAlex ID: https://openalex.org/W4417091014

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OpenAlex ID: https://openalex.org/W4417091014

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DOI: https://doi.org/10.48550/arxiv.2504.12987

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Title: Global regularity for the Dirichlet problem of Monge-Ampère equation in convex polytopes

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Type: preprint

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Language: en

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Publication year: 2025

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Publication date: 2025-04-17

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Authors: Genggeng Huang, Weiming Shen

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Landing page: https://arxiv.org/abs/2504.12987

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PDF URL: https://arxiv.org/pdf/2504.12987

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Open access: Yes

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OA status: green

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OA URL: https://arxiv.org/pdf/2504.12987

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Cited by: 0

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