A local regularity of the complex Monge–Ampère equation

被引：0
|
作者：
Zbigniew Błocki
Sławomir Dinew
机构：
[1] Jagiellonian University,Institute of Mathematics
来源：
Mathematische Annalen | 2011年 / 351卷
关键词：
Dirichlet Problem; Convex Domain; Nonlinear Elliptic Equation; Einstein Metrics; Elliptic Quasilinear Equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove a local regularity (and a corresponding a priori estimate) for plurisubharmonic solutions of the nondegenerate complex Monge–Ampère equation assuming that their W2, p-norm is under control for some p > n(n − 1). This condition is optimal. We use in particular some methods developed by Trudinger and an estimate for the complex Monge–Ampère equation due to Kołodziej.
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页码：411 / 416
页数：5
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