English

Convergence in capacity of plurisubharmonic functions with given boundary values

Complex Variables 2016-03-14 v2

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-Amp\`ere equations.

Keywords

Cite

@article{arxiv.1601.03152,
  title  = {Convergence in capacity of plurisubharmonic functions with given boundary values},
  author = {Nguyen Xuan Hong and Nguyen Van Trao and Tran Van Thuy},
  journal= {arXiv preprint arXiv:1601.03152},
  year   = {2016}
}