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• W3213053170 abstract "In this paper, we establish the global $C^{2,alpha}$ and $W^{2,p}$ regularity for the Monge-Ampère equation $mathrm{det} D^2u = f$ subject to boundary condition $Du(Omega) = Omega^ast$, where $Omega$ and $Omega^ast$ are bounded convex domains in the Euclidean space $mathbb{R}^n$ with $C^{1,1}$ boundaries, and $f$ is a Hölder continuous function. This boundary value problem arises naturally in optimal transportation and many other applications." @default.
• W3213053170 created "2021-11-22" @default.
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• W3213053170 date "2021-11-01" @default.
• W3213053170 modified "2023-10-02" @default.
• W3213053170 title "Global regularity for the Monge-Ampère equation with natural boundary condition" @default.
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• W3213053170 doi "https://doi.org/10.4007/annals.2021.194.3.4" @default.
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