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Dirichlet's problem in Pluripotential Theory

In this thesis we focus on Dirichlet's problem for the complex Monge-Ampère equation. That is, for a given non-negative Radon measure µ we are interested in the conditions under which there exists a plurisubharmonic function u such that (ddcu)n=µ, where (ddc)n is the complex Monge-Ampère operator. If this function u exists, then can it be chosen with given boundary values? Is this solution uniquely determined within a given class of functions?

Identiferoai:union.ndltd.org:UPSALLA1/oai:DiVA.org:umu-1562
Date January 2008
CreatorsPhạm, Hoàng Hiệp
PublisherUmeå universitet, Matematik och matematisk statistik, Umeå : Matematik och matematisk statistik
Source SetsDiVA Archive at Upsalla University
LanguageEnglish
Detected LanguageEnglish
TypeDoctoral thesis, comprehensive summary, info:eu-repo/semantics/doctoralThesis, text
Formatapplication/pdf
Rightsinfo:eu-repo/semantics/openAccess
RelationDoctoral thesis / Umeå University, Department of Mathematics, 1102-8300 ; 40

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