Article ID Journal Published Year Pages File Type
4592563 Journal of Functional Analysis 2009 10 Pages PDF
Abstract

We prove uniqueness for the Dirichlet problem for the complex Monge–Ampère equation on compact Kähler manifolds in the case of probability measures vanishing on pluripolar sets. The proof uses the mass concentration technique due to Kołodziej coupled with inequalities for mixed Monge–Ampère measures and the comparison principle.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory