Hölder continuity of solutions to the complex Monge-Ampère equation with the right hand side in L^p. The case of compact Kähler manifolds

2006/11/02 by Kołodziej, Sławomir · 1 citation
#32Q15 #32U #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0611051

Abstract

We prove that on compact Kähler manifolds solutions to the complex Monge-Ampère equation, with the the right hand side in L^p, p>1, are Hölder continuous.

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• Green's function estimates for compact Kähler manifolds and applications

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