Oscillation criteria for PDE with p-Laplacian involving general means

被引：8

作者：

Xu, Zhiting ^{[1
]}

Xing, Hongyan

机构：

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

[2] Guangdong Univ Technol, Dept Appl Math, Guangzhou 510090, Peoples R China

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2005年 / 184卷 / 03期

关键词：

oscillation; PDE with p-Laplacian; Riccati inequality; general means;

D O I：

10.1007/s10231-004-0124-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Oscillation criteria for PDE with p-Laplacian div (\Du\(p-2) A (x) Du) + c(x)\u\(p-2)u = 0 are given. The results are extensions of the integral averaging technique of Philos, thereby improving the oscillation criteria of Usami. General means are employed to establish our results.

引用

页码：395 / 406

页数：12

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