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A Dirichlet type problem for non-pluripolar complex Monge-Ampère equations

Published 1 Jul 2024 in math.CV and math.AP | (2407.00937v2)

Abstract: In this paper, we study a Dirichlet type problem for the non-pluripolar complex Monge - Amp`ere 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, Di Nezza and Lu. Our work also extends a result of Ahag, Cegrell, Czyz and Pham.

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