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

Author: Jiakun Liu
Journal: Proc. Amer. Math. Soc. 149 (2021), 2479-2486
MSC (2020): Primary 35J96; Secondary 35J62
DOI: https://doi.org/10.1090/proc/15459
Published electronically: March 22, 2021
MathSciNet review: 4246799
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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.

References

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