Stability and regularity of solutions of the Monge-Ampere equation on Hermitian manifolds
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
- Appears in Collection
- MA-Journal Papers(저널논문)
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