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A Dirichlet Type Problem for Non-Pluripolar Complex Monge-Ampère Equations
Thai Duong Do
,
Hoang-Son Do
,
Van Tu Le
,
Ngoc Thanh Cong Pham
Abstract
In this paper, we study a Dirichlet type problem for the non-pluripolar complex Monge - Ampère equation with prescribed singularity on a bounded domain of $\mathbb {C}^n$. We provide a local version for an existence and uniqueness theorem proved by Darvas et al. (Math. Ann. 379, 95–132, 2021). Our work also extends a result of Åhag et al. (J. Math. Pures Appl. 92, 613–627, 2009).