The complex Monge-Ampére equation and methods of pluripotential theory

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Abstract

One can prove fairly sharp results on the existence of weak solutions to the complex Monge-Ampére equation applying the methods based on the concept of the positive current. We survey those results both in a strictly pseudoconvex domain and on a compact Kähler manifold.

Keywords

Plurisubharmonic function , complex Monge-Ampére operator
  • Slawomir Kolodziej Jagiellonian University, lnstitute of Mathematics, Reymonta 4, 30-059 Kraków, Poland.
  • Pages: 259–279
  • Date Published: 2004-03-01
  • Vol. 6 No. 1 (2004): CUBO, A Mathematical Journal

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Published

2004-03-01

How to Cite

[1]
S. Kolodziej, “The complex Monge-Ampére equation and methods of pluripotential theory”, CUBO, vol. 6, no. 1, pp. 259–279, Mar. 2004.

Issue

Vol. 6 No. 1 (2004): CUBO, A Mathematical Journal

Section

Articles