Oscillation of Certain Second Order Damped Quasilinear Elliptic Equations via the Weighted Averages

被引：0

作者：

Xia, Yong ^{[1
]}

Xu, Zhiting ^{[2
]}

机构：

[1] Dongguan Inst Technol, Dept Appl Math, Dongguan 511700, Peoples R China

[2] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

KYUNGPOOK MATHEMATICAL JOURNAL | 2007年 / 47卷 / 02期

关键词：

oscillation; quasilinear elliptic equation; second order; damped; weighted averages;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By using the weighted averaging techniques, we establish oscillation criteria for the second order damped quasilinear elliptic differential equation Sigma(N)(i, j= 1) D-i(a(ij)(x)parallel to Dy parallel to(p-2)D(j)y) + < b(x), parallel to Dy parallel to Dyp-2 > + c(x) f(y) = 0, p > 1. The obtained theorems include and improve some existing ones for the undamped halflinear partial differential equation and the semilinear elliptic equation.

引用

页码：191 / 202

页数：12

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