Fully nonlinear elliptic equations with gradient terms on compact almost Hermitian manifolds

被引：3

作者：

Huang, Liding ^{[1
]}

Zhang, Jiaogen ^{[2
]}

机构：

[1] Westlake Univ, Westlake Inst Adv Study, 18 Shilongshan Rd,Cloud Town, Hangzhou, Peoples R China

[2] Univ Sci & Technol China, Sch Math Sci, Hefei, Peoples R China

来源：

MATHEMATISCHE ZEITSCHRIFT | 2023年 / 303卷 / 02期

基金：

中国博士后科学基金;

关键词：

Fully nonlinear elliptic equations; Almost Hermitian manifolds; Monge-Ampere equation; Deformed Hermitian-Yang-Mills equation; MONGE-AMPERE EQUATION; GAUDUCHON METRICS; HESSIAN EQUATIONS; UNIFORM ESTIMATE; COMPLEX; HYPERSURFACES;

D O I：

10.1007/s00209-022-03202-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish second order estimates for a general class of fully nonlinear elliptic equations with gradient terms on almost Hermitian manifolds including the deformed Hermitian-Yang-Mills equation and the equation in the proof of Gauduchon conjecture by Szekelyhidi-Tosatti-Weinkove. As applications, we also consider the existence of Monge-Ampere equation and Hessian equations.

引用

页数：24

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