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
收藏
页码：123 / 131
页数：9
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