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.

Downloads

Published

2012-06-01

Issue

Vol. 110 No. 2 (2012)

Section

Articles

How to Cite

[1]
P. Åhag, U. Cegrell, and R. Czyz, “On Dirichlet’s principle and problem”, Math. Scand., vol. 110, no. 2, pp. 235–250, Jun. 2012, doi: 10.7146/math.scand.a-15206.