STABILITY AND HOLDER REGULARITY OF SOLUTIONS TO COMPLEX MONGE-AMPERE EQUATIONS ON COMPACT HERMITIAN MANIFOLDS

被引：0

作者：

Lu, Chinh H. ^{[1
]}

Trong-Thuc Phung ^{[2
]}

To, Tat-Dat ^{[3
,4
]}

机构：

[1] Univ Paris Saclay, CNRS, Lab Math Orsay, F-91405 Orsay, France

[2] Ho Chi Minh City Univ Technol, VNU HCM, Ho Chi Minh City, Vietnam

[3] Univ Toulouse, Ecole Natl Aviat Civile, 7 Ave Edouard Belin, FR-31055 Toulouse 04, France

[4] Sorbonne Univ, Inst Math Jussieu Paris Rive Gauche, Campus Pierre & Marie Curie,4 Pl Jussieu, F-75252 Paris 05, France

来源：

ANNALES DE L INSTITUT FOURIER | 2021年 / 71卷 / 03期

关键词：

Hermitian manifold; Complex Monge-Ampere equation; Stability; Comparison principle; ENVELOPES; CURRENTS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (X, omega) be a compact Hermitian manifold. We establish a stability result for solutions to complex Monge-Ampere equations with right-hand side in L-p, p > 1. Using this we prove that the solutions are Holder continuous with the same exponent as in the Kahler case by Demailly-Dinew-Guedj-Kolodziej-Pham-Zeriahi. Our techniques also apply to the setting of big cohomology classes on compact Kahler manifolds.

引用

页码：2019 / 2045

页数：28

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