Maximum principles and bounds in a class of fourth-order uniformly elliptic equations

被引：8
|
作者：
Zhang, HL [1 ]
Zhang, W [1 ]
机构：
[1] Xian Jiaotong Univ, Dept Math Appl, Xian 710049, Peoples R China
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2002年 / 35卷 / 43期
关键词：
D O I：
10.1088/0305-4470/35/43/318
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper is devoted to a class of fourth-order uniformly elliptic equations posed by Schaefer in 1987. We obtain maximum principles for certain functions, which are defined on solutions of the elliptic equations. The principles are then used to deduce some bounds on important quantities in the physical problems of interest.
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页码：9245 / 9250
页数：6
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