On Dirichlet's principle and problem

Details On Dirichlet's principle and problem On Dirichlet's principle and problem

2009-12-07

arxiv.org/abs/0912.1244v2

Mathematics

Complex Variables

Scientific paper

The aim of this paper is to give a new proof of the complete characterization
of measures for which there exist 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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