On Dirichlet's principle and problem

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.

References in corpus (1)

• A variational approach to complex Monge-Ampere equations

Cited by in corpus (1)

• Moser-Trudinger type inequalities for complex Monge-Ampère operators and Aubin's "hypothèse fondamentale"