摘要
The smooth solutions of the Dirichlet problems for the complex Monge-Ampère equations on general smooth domains are found,provided that there exists a C 3 strictly plurisub harmonic subsolution with prescribed boundary value.It is the smooth version of an existence theorem given by Bedford and Taylor.
The smooth solutions of the Dirichlet problems for the complex Monge-Ampère equations on general smooth domains are found,provided that there exists a C 3 strictly plurisub harmonic subsolution with prescribed boundary value.It is the smooth version of an existence theorem given by Bedford and Taylor.
基金
National Natural Science Foundation of China(1 0 0 71 0 70 ) and Foundation of Zhejiang Education Counci
