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?
| Identifer | oai:union.ndltd.org:UPSALLA1/oai:DiVA.org:umu-1562 |
| Date | January 2008 |
| Creators | Phạm, Hoàng Hiệp |
| Publisher | Umeå universitet, Matematik och matematisk statistik, Umeå : Matematik och matematisk statistik |
| Source Sets | DiVA Archive at Upsalla University |
| Language | English |
| Detected Language | English |
| Type | Doctoral thesis, comprehensive summary, info:eu-repo/semantics/doctoralThesis, text |
| Format | application/pdf |
| Rights | info:eu-repo/semantics/openAccess |
| Relation | Doctoral thesis / Umeå University, Department of Mathematics, 1102-8300 ; 40 |
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