Large Solutions to Complex Monge-Ampere Equations： Existence, Uniqueness and Asymptotics

The authors consider the complex Monge-Ampere equation det（uij） = ψ（z, u, △↓u） in bounded strictly pseudoconvex domains Ω, subject to the singular boundary condition u =∞ on δΩ. Under suitable conditions on ψ, the existence, uniqueness and the exact asymptotic behavior of solutions Monge-Ampere equa...

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Bibliographic Details
Published inChinese annals of mathematics. Serie B Vol. 32; no. 4; pp. 569 - 580
Main Authors Xiang, Ni, Yang, Xiaoping
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.07.2011
Faculty of Mathematics and Computer Science, Hubei University, Wuhan 430000, China%School of Science, Nanjing University of Science and Technology, Nanjing 210094, China
Subjects
Amp
Applications of Mathematics
blow
DET
Mathematics
Mathematics and Statistics
奇异边界条件
方程
渐近行为
综合型
32A05
Complex Monge-Ampère equation
35J60
Plurisubharmonic
Boundary blow-up
Pseudoconvex
Asymptotics
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Summary:The authors consider the complex Monge-Ampere equation det（uij） = ψ（z, u, △↓u） in bounded strictly pseudoconvex domains Ω, subject to the singular boundary condition u =∞ on δΩ. Under suitable conditions on ψ, the existence, uniqueness and the exact asymptotic behavior of solutions Monge-Ampere equations are established to boundary blow-up problems for the complex
Bibliography:The authors consider the complex Monge-Ampere equation det（uij） = ψ（z, u, △↓u） in bounded strictly pseudoconvex domains Ω, subject to the singular boundary condition u =∞ on δΩ. Under suitable conditions on ψ, the existence, uniqueness and the exact asymptotic behavior of solutions Monge-Ampere equations are established to boundary blow-up problems for the complex
Complex Monge-Ampere equation, Boundary blow-up, Plurisubharmonic,Pseudoconvex, Asymptotics
31-1329/O1
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-011-0657-0