A Dirichlet principle for the complex Monge-Ampere operator

被引:20
|
作者
Persson, L [1 ]
机构
[1] Umea Univ, Dept Math, SE-90187 Umea, Sweden
来源
ARKIV FOR MATEMATIK | 1999年 / 37卷 / 02期
关键词
D O I
10.1007/BF02412219
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A solution to a Dirichlet problem for the complex Monge-Ampere operator is characterized as a minimizer of an energy functional. A mutual energy estimate and a generalization of Holder's inequality is proved. A comparison is made with corresponding results in classical potential theory.
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页码:345 / 356
页数:12
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