On a class of fully nonlinear elliptic equations on Hermitian manifolds

被引：31

作者：

Guan, Bo ^{[1
]}

Sun, Wei ^{[1
]}

机构：

[1] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2015年 / 54卷 / 01期

基金：

美国国家科学基金会;

关键词：

COMPLEX MONGE-AMPERE; DIRICHLET PROBLEM; J-FLOW; CONVERGENCE;

D O I：

10.1007/s00526-014-0810-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive a priori C-2 estimates for a class of complex Monge-Ampere type equations on Hermitian manifolds. As an application we solve the Dirichlet problem for these equations under the assumption of existence of a subsolution; the existence result, as well as the second order boundary estimates, is new even for bounded domains in C-n.

引用

页码：901 / 916

页数：16

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