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 .

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Bibliographic Details
Published in:Analysis and mathematical physics 2018-09, Vol.8 (3), p.465-484
Main Authors: Hong, Nguyen Xuan, Van Thuy, Tran
Format: Article
Language:English
Subjects:
Analysis
Mathematical analysis
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
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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