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Convergence in capacity of plurisubharmonic functions with given boundary values

Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy Street, Caugiay District, Hanoi, Vietnam

E-mail Address: xuanhongdhsp@yahoo.com

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Nguyen Van Trao

Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy Street, Caugiay District, Hanoi, Vietnam

E-mail Address: ngvtrao@yahoo.com

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Tran Van Thuy

Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy Street, Caugiay District, Hanoi, Vietnam

E-mail Address: thuyhum@gmail.com

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https://doi.org/10.1142/S0129167X17500185Cited by:8 (Source: Crossref)

Abstract

In this paper, we study the convergence in the capacity of sequence of plurisubharmonic functions. As an application, we prove stability results for solutions of the complex Monge–Ampère equations.

Keywords:

AMSC: 32W20

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