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$C^{2,α}$-estimate for Monge-Ampere equations with Hölder-continuous right hand side (1406.5825v1)
Published 23 Jun 2014 in math.AP and math.DG
Abstract: We present a somewhat new proof to the $C{2,\alpha}$-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 $C{\alpha{\prime}}-$norm of the right hand side of the equation, $0<\alpha<\alpha{\prime}$.
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