Regularity of the Dirichlet Problem for the Non-degenerate Complex Quotient Equations

被引：1

作者：

Zhang, Qiqi ^{[1
]}

机构：

[1] Fujian Normal Univ, Coll Math & Informat, Fuzhou 350100, Peoples R China

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2021年 / 2021卷 / 23期

基金：

中国国家自然科学基金;

关键词：

NONLINEAR ELLIPTIC-EQUATIONS; MONGE-AMPERE; MANIFOLDS; EXISTENCE;

D O I：

10.1093/imrn/rnaa100

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the solvability for the Dirichlet problem of a class of fully nonlinear elliptic equations over complex domains in C-n. The equations are in the form of the linear combinations of the elementary symmetric functions of the Hessian matrix of the unknown functions, which include the complex Hessian equations and quotient equations as special cases.

引用

页码：17673 / 17694

页数：22

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