Local Hölder continuity of solutions of the complex Monge-Ampère equation

In this paper, we are interested in studying the Dirichlet problem for the complex Monge-Ampère operator. We provide necessary and sufficient conditions for the problem to have Hölder continuous solutions.

Saved in:
Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 507; no. 1; p. 125737
Main Authors Hong, Nguyen Xuan, Lieu, Pham Thi
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.03.2022
Subjects
Dirichlet problem
Hölder continuous
Monge-Ampère
Subsolution problem
Dirichlet problem
Monge-Ampère
Subsolution problem
Hölder continuous
Online AccessGet full text

Cover

More Information
Summary:In this paper, we are interested in studying the Dirichlet problem for the complex Monge-Ampère operator. We provide necessary and sufficient conditions for the problem to have Hölder continuous solutions.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2021.125737