Principal eigenvalues and sturm comparison via Picone's identity

被引：37

作者：

Allegretto, W ^{[1
]}

Huang, YX

机构：

[1] Univ Alberta, Dept Math Sci, Edmonton, AB T6G 2G1, Canada

[2] Memphis State Univ, Dept Math Sci, Memphis, TN 38152 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1999年 / 156卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Picone's identity; principal eigenvalues; Sturm comparison;

D O I：

10.1006/jdeq.1998.3596

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize the principal eigenvalues and eigenfunctions in R-N, and present comparison results, for higher dimensional p-laplacian. Our main tool is Picone's identity. In this way we extend several recent results on spectral and comparison properties for differential equations. (C) 1999 Academic Press.

引用

页码：427 / 438

页数：12

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