English

Local H\"older continuity of solutions of the complex Monge-Amp\`ere equation

Complex Variables 2021-08-20 v1

Abstract

In this paper, we are interested in studying the Dirichlet problem for the complex Monge-Amp\`ere operator. We provide necessary and sufficient conditions for the problem to have H\"older continuous solutions.

Keywords

Cite

@article{arxiv.2108.08460,
  title  = {Local H\"older continuity of solutions of the complex Monge-Amp\`ere equation},
  author = {Nguyen Xuan Hong and Pham Thi Lieu},
  journal= {arXiv preprint arXiv:2108.08460},
  year   = {2021}
}