Fully non-linear elliptic equations on compact almost Hermitian manifolds

被引：4

作者：

Chu, Jianchun ^{[1
]}

Huang, Liding ^{[2
]}

Zhang, Jiaogen ^{[3
]}

机构：

[1] Peking Univ, Sch Math Sci, Yiheyuan Rd 5, Beijing 100871, Peoples R China

[2] Westlake Univ, Westlake Inst Adv Study, 18 Shilongshan Rd, Hangzhou 310024, Peoples R China

[3] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2023年 / 62卷 / 03期

基金：

中国博士后科学基金;

关键词：

58J05; 32Q60; 35J60; MONGE-AMPERE EQUATION; UNIFORM ESTIMATE; HESSIAN EQUATIONS; COMPLEX; HYPERSURFACES;

D O I：

10.1007/s00526-023-02445-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish a priori estimates for solutions of a general class of fully non-linear equations on compact almost Hermitian manifolds. As an application, we solve the complex Hessian equation and the Monge-Amp & egrave;re equation for (n - 1)-plurisubharmonic functions in the almost Hermitian setting.

引用

页数：34

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