Large solutions to complex Monge-AmpSre equations: Existence, uniqueness and asymptotics

被引：1

作者：

Xiang, Ni ^{[1
]}

Yang, Xiaoping ^{[2
]}

机构：

[1] Hubei Univ, Fac Math & Comp Sci, Wuhan 430000, Peoples R China

[2] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2011年 / 32卷 / 04期

关键词：

Complex Monge-Ampere equation; Boundary blow-up; Plurisubharmonic; Pseudoconvex; Asymptotics; BOUNDARY BLOW-UP; PLURICOMPLEX GREEN-FUNCTION; AMPERE EQUATION; REGULARITY; OPERATOR;

D O I：

10.1007/s11401-011-0657-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The authors consider the complex Monge-Ampere equation det(u(ij)(-)) = psi(z, u,. u) in bounded strictly pseudoconvex domains Omega, subject to the singular boundary condition u = infinity on partial derivative Omega. Under suitable conditions on., the existence, uniqueness and the exact asymptotic behavior of solutions to boundary blow-up problems for the complex Monge-Ampere equations are established.

引用

页码：569 / 580

页数：12

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