A \mathcal C^2,α estimate of the complex Monge-Ampère equation

2017/05/24 by Li, Chao, Li, Jiayu, Zhang, Xi
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1705.08634

Abstract

In this paper, we prove a \mathcal C^2,α-estimate for the solution to the complex Monge-Ampère equation det(u_ij)=f with 0< f∈ \mathcal C^α, under the assumption that u∈ \mathcal C^1,β for some β<1 which depends on n and α.

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