On an eigenvalue problem involving the one-dimensional p-Laplacian

被引：3

作者：

Huy, NB

Thanh, TD

机构：

[1] Pedag Univ, Dept Math, Ho Chi Minh City, Vietnam

[2] Coll Med & Pharm, Ho Chi Minh City, Vietnam

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 290卷 / 01期

关键词：

D O I：

10.1016/j.jmaa.2003.09.074

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We apply general results on operator equations in ordered spaces and properties of the principal eigenvalues for weighted semi-linear equations to prove the existence of a global continua of positive solutions and eigenvalue intervals to the problem (phi(x'))'+lambdaf (t, x, x')=0 in (0, 1), x(0)=x(1)=0, where phi (x)=\x\(p-2)x, p>1, lambda>0. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：123 / 131

页数：9

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