On Dirichlet's principle and problem

Per Åhag, Urban Cegrell, Rafal Czyz

Abstract


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.

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DOI: http://dx.doi.org/10.7146/math.scand.a-15206

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ISSN 0025-5521 (print) ISSN 1903-1807 (online)

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