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

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.