Hölder continuous solutions to the complex Monge–Ampère equations in non-smooth pseudoconvex domains

In this paper, we prove the Hölder continuity for solutions to the complex Monge–Ampère equations on non-smooth pseudoconvex domains of plurisubharmonic type m .

Saved in:
Bibliographic Details
Published inAnalysis and mathematical physics Vol. 8; no. 3; pp. 465 - 484
Main Authors Hong, Nguyen Xuan, Van Thuy, Tran
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.09.2018
Springer Nature B.V
Subjects
Analysis
Mathematical analysis
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Dirichlet problem
complex Monge–Ampère equations
plurisubharmonic functions
Hölder continuous
Online AccessGet full text

Cover

More Information
Summary:In this paper, we prove the Hölder continuity for solutions to the complex Monge–Ampère equations on non-smooth pseudoconvex domains of plurisubharmonic type m .
ISSN:1664-2368
1664-235X
DOI:10.1007/s13324-017-0175-7