Interior 𝐶² estimate for Monge-Ampère equation in dimension two

Liu, Jiakun

doi:10.1090/proc/15459

Interior $C^2$ estimate for Monge-Ampère equation in dimension two
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by Jiakun Liu

Proc. Amer. Math. Soc. 149 (2021), 2479-2486

DOI: https://doi.org/10.1090/proc/15459

Published electronically: March 22, 2021

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Abstract:

We obtain a genuine local $C^2$ estimate for the Monge-Ampère equation in dimension two, by using the partial Legendre transform.

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