An Iterative Approach to the Complex Monge-Ampère Eigenvalue Problem

Abstract

We present an iterative approach to approximate the solution to the Dirichlet complex Monge-Ampère eigenvalue problem on a bounded strictly pseudoconvex domain in $\C^n$. This approach is inspired by a similar approach initiated by F. Abedin, J. Kitagawa who considered the real Monge-Ampère operator on a strictly convex domain in ${\mathbb{R}}^N$.

To appear in Annali Polonici Mathematici