On Dirichlet's principle and problem

  • Per Åhag
  • Urban Cegrell
  • Rafal Czyz

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.
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
Section
Articles