Monge–Ampère Type Equations on Almost Hermitian Manifolds  

作　　者：Jiao Gen ZHANG 

机构地区：[1]School of Mathematical Sciences,University of Science and Technology of China,Hefei 230026,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2023年第5期749-772,共24页数学学报（英文版）

基　　金：Supported by the project“Analysis and Geometry on Bundle”of Ministry of Science and Technology of the People’s Republic of China(Grant No.SQ2020YFA070080);by China Postdoctoral Science Foundation(Grant No.290612)。

摘　　要：In this paper we consider the Monge–Ampère type equations on compact almost Hermitian manifolds.We derive C∞a priori estimates under the existence of an admissible C-subsolution.Finally,we obtain an existence result if there exists an admissible supersolution.

关 键 词：Monge-Ampere type equations almost Hermitian manifold a priori estimates SUBSOLUTION 

分 类 号：O175[理学—数学]