The interior gradient estimate of Hessian quotient equations

被引：12
作者：
Chen, Chuanqiang [1 ]
机构：
[1] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Zhejiang, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年 / 259卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Hessian quotient equation; The interior gradient estimate; k-admissible solution;
D O I：
10.1016/j.jde.2015.02.035
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we establish the interior gradient estimate of k-admissible solutions of Hessian quotient equations sigma(k)(D(2)u)/sigma(l)(D(2)u) = f (x,u, Du) with 0 <= l <= k <= n, which generalizes the result of [1,7]. (C) 2015 Elsevier Inc. All rights reserved.
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页码：1014 / 1023
页数：10
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