The Dirichlet problem for Monge-Ampere equations in a hermitian metric

被引：12
|
作者：
Cherrier, P
Hanani, A
机构：
[1] Univ Paris 06, UFR Math 920, F-75005 Paris, France
[2] Univ Lille 1, UFR Math, F-59655 Villeneuve Dascq, France
来源：
BULLETIN DES SCIENCES MATHEMATIQUES | 1999年 / 123卷 / 07期
关键词：
D O I：
10.1016/S0007-4497(99)00115-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let X be a C-infinity strongly pseudoconvex hermitian compact manifold with boundary. We solve Dirichlet problems of the form det del(mu)(lambda)phi = F(x, del phi; phi) on X, phi = u on partial derivative X, where F is an element of C-infinity (T X x R) is an everywhere positive function and u is an element of C-infinity (partial derivative X). (C) Elsevier, Paris.
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页码：577 / 597
页数：21
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