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arXiv · 2501.17337

Global $C^{1,α}$ regularity for Monge-Ampère equations on planar convex domains

Qing Han·Jiakun Liu·Yang Zhou
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Abstract

In this paper, we establish the global Hölder gradient estimate for solutions to the Dirichlet problem of the Monge-Ampère equation $\det D^2u = f$ on strictly convex but not uniformly convex domain $Ω$.

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Qing Han, Jiakun Liu, Yang Zhou. 2025-01-28. Global $C^{1,α}$ regularity for Monge-Ampère equations on planar convex domains. https://arxiv.org/abs/2501.17337

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