On Dirichlet's principle and problem
Complex Variables
2010-05-04 v2
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.
Cite
@article{arxiv.0912.1244,
title = {On Dirichlet's principle and problem},
author = {Per Ahag and Urban Cegrell and Rafal Czyz},
journal= {arXiv preprint arXiv:0912.1244},
year = {2010}
}