On the solution of Dirichlet problem of complex Monge-Ampère equation on Cartan-Hartogs domain of the second type

被引：0
作者：
YIN WeiPing1& YIN XiaoLan2
机构：
来源：
Science China Mathematics | 2009年 / 12期
基金：
中国国家自然科学基金;
关键词：
complex Monge-Amp`ere equation; Dirichlet problem; Cartan-Hartogs domain; Kaeh-;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
Complex Monge-Ampère equation is a nonlinear equation with high degree,so its solution is very diffcult to get.How to get the plurisubharmonic solution of Dirichlet problem of complex Monge- Ampère equation on the Cartan-Hartogs domain of the second type is discussed by using the analytic method in this paper.Firstly,the complex Monge-Ampère equation is reduced to a nonlinear secondorder ordinary differential equation(ODE)by using quite different method.Secondly,the solution of the Dirichlet problem is given in semi-explicit formula,and under a special case the exact solution is obtained.These results may be helpful for the numerical method of Dirichlet problem of complex Monge-Ampère equation on the Cartan-Hartogs domain.
引用
收藏
页码：2829 / 2840
页数：12
相关论文
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