On Dirichlet's principle and problem

Per Åhag; Urban Cegrell; Rafal Czyz

doi:10.7146/math.scand.a-15206

On Dirichlet's principle and problem

Authors

Per Åhag
Urban Cegrell
Rafal Czyz

DOI:

https://doi.org/10.7146/math.scand.a-15206

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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Published

2012-06-01

How to Cite

Åhag, P., Cegrell, U., & Czyz, R. (2012). On Dirichlet’s principle and problem. MATHEMATICA SCANDINAVICA, 110(2), 235–250. https://doi.org/10.7146/math.scand.a-15206