Annual oscillation criteria for second-order nonlinear elliptic differential equations

被引：7
|
作者：
Zhuang, Rong-Kun [1 ,2 ]
机构：
[1] Huizhou Univ, Dept Math, Huizhou 516015, Peoples R China
[2] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 217卷 / 01期
基金：
中国国家自然科学基金;
关键词：
nonlinear elliptic differential equation; second order; oscillation; annual criteria;
D O I：
10.1016/j.cam.2007.06.031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present some new oscillation criteria for the second-order nonlinear elliptic differential equation del . (A (x) del y) + q (x) f (y) = e(x), X is an element of Omega, where Omega is an exterior domain in R-N. These criteria are different from most known ones in the sense that they are based on the information only on a sequence of annuals of Omega in R-N, rather than on the whole exterior domain Omega. Also information about the distribution of the zero of solutions is obtained. (c) 2007 Elsevier B.V. All rights reserved.
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页码：268 / 276
页数：9
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