Stability and regularity of solutions of the Monge-Ampere equation on Hermitian manifolds

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We prove stability of solutions of the complex Monge-Ampere equation on compact Hermitian manifolds, when the right hand side varies in a bounded set in L-p, p > 1 and it is bounded away from zero. Such solutions are shown to be Holder continuous. As an application we extend a recent result of Szekelyhidi and Tosatti on Kahler-Einstein equation from Kahler to Hermitian manifolds. (C) 2019 Elsevier Inc. All rights reserved.
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Issue Date
2019-04
Language
English
Article Type
Article
Citation

ADVANCES IN MATHEMATICS, v.346, pp.264 - 304

ISSN
0001-8708
DOI
10.1016/j.aim.2019.02.004
URI
http://hdl.handle.net/10203/268234
Appears in Collection
MA-Journal Papers(저널논문)
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