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On Dirichlet's principle and problem
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
Jagiellonian Univ, Inst Math, Krakow, Poland.
2012 (English)In: Mathematica Scandinavica, ISSN 0025-5521, E-ISSN 1903-1807, Vol. 110, no 2, 235-250 p.Article in journal (Refereed) Published
Abstract [en]

The aim of this paper is to give a new proof of the complete characterization of measures for which there exists a solution of the Dirichlet problem for the complex Monge-Ampere operator in the set of plurisubharmonic functions with finite pluricomplex energy. The proof uses variational methods.

Place, publisher, year, edition, pages
Aarhus, Denmark: Matematiska inst. University of Munkegade , 2012. Vol. 110, no 2, 235-250 p.
Keyword [en]
monge-ampere operator, plurisubharmonic-functions, variational properties, pluricomplex energy, equation
National Category
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-45616ISI: 000306625600005OAI: oai:DiVA.org:umu-45616DiVA: diva2:432407
Available from: 2011-08-03 Created: 2011-08-03 Last updated: 2017-12-08Bibliographically approved

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Åhag, PerCegrell, Urban

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