Fully Nonlinear Elliptic Equations on Hermitian Manifolds for Symmetric Functions of Partial Laplacians

被引：3

作者：

George, Mathew ^{[1
]}

Guan, Bo ^{[1
]}

Qiu, Chunhui ^{[2
]}

机构：

[1] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2022年 / 32卷 / 06期

关键词：

Fully nonlinear elliptic equations; Hermitian manifolds; Partial Laplacians; Tangent cone at infinity; Rank; A priori estimates; Dirichlet problem; PLURISUBHARMONICITY; CONVEXITY;

D O I：

10.1007/s12220-022-00918-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a class of fully nonlinear second-order elliptic equations on Hermitian manifolds closely related to the general notion of G-plurisubharmonicity of Harvey-Lawson and an equation treated by Szekelyhidi-Tosatti-Weinkove in the proof of Gauduchon conjecture. Under fairly general assumptions, we derive interior estimates and establish the existence of smooth solutions for the Dirichlet problem as well as for equations on closed manifolds.

引用

页数：27

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