Oscillation of damped PDE with p-Laplacian in unbounded domains

被引：1

作者：

Xu, Zhiting ^{[1
]}

机构：

[1] S China Normal Univ, Sch Math, Guangzhou 510631, Guangdong, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 05期

关键词：

Oscillation; PDE with p-Laplacian; Damped; Unbounded domains; DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; CRITERIA; 2ND-ORDER; THEOREMS;

D O I：

10.1016/j.na.2009.10.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, new oscillation theorems for the damped partial differential equation (PDE) with p-Laplacian div(A(x) parallel to del u parallel to(p-2)del u) + <(b) over right arrow (x). parallel to del u parallel to(p-2)del u > + c(x)vertical bar u vertical bar(p-2)u = 0 are established in unbounded domains. Our theorems as two special cases when A equivalent to I or A equivalent to I, (b) over right arrow (x) equivalent to 0 improve and complement some existing results in the literature. To illustrate our main results, we give some corollaries and examples. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：2277 / 2289

页数：13

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