The Neumann problem of Hessian quotient equations

被引：6

作者：

Chen, Chuanqiang ^{[1
]}

Zhang, Dekai ^{[2
]}

机构：

[1] Ningbo Univ, Sch Math & Stat, Ningbo 315211, Zhejiang, Peoples R China

[2] Fudan Univ, Shanghai Ctr Math Sci, Jiangwan Campus,2005 Songhu Rd, Shanghai, Peoples R China

来源：

BULLETIN OF MATHEMATICAL SCIENCES | 2021年 / 11卷 / 01期

基金：

中国博士后科学基金;

关键词：

Hessian quotient equation; Neumann problem; k-admissible solution; BOUNDARY-VALUE-PROBLEMS; 2ND-ORDER ELLIPTIC-EQUATIONS; DIRICHLET PROBLEM;

D O I：

10.1142/S1664360720500186

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain some important inequalities of Hessian quotient operators, and global C2 estimates of the Neumann problem of Hessian quotient equations. By the method of continuity, we establish the existence theorem of k-admissible solutions of the Neumann problem of Hessian quotient equations.

引用

页数：26

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