On Dirichlet's principle and problem

Per Ahag; Urban Cegrell; Rafal Czyz

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arXiv · 0912.1244

On Dirichlet's principle and problem

Per Ahag·Urban Cegrell·Rafal Czyz

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Abstract

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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Per Ahag, Urban Cegrell, Rafal Czyz. 2010-05-02. On Dirichlet's principle and problem. https://arxiv.org/abs/0912.1244

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