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arXiv · 1406.5825

$C^{2,α}$-estimate for Monge-Ampere equations with Hölder-continuous right hand side

Xiuxiong Chen·Yuanqi Wang
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Abstract

We present a somewhat new proof to the $C^{2,α}$-aprori estimate for the uniform elliptic Monge-Ampere equations, in both the real and complex settings. Our estimates do not need to differentiate the equation, and only depends on the $C^{α^{\prime}}-$norm of the right hand side of the equation, $0<α<α^{\prime}$.

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Xiuxiong Chen, Yuanqi Wang. 2014-06-23. $C^{2,α}$-estimate for Monge-Ampere equations with Hölder-continuous right hand side. https://arxiv.org/abs/1406.5825

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