Three positive solutions for one-dimensional p-Laplacian problem with sign-changing weight

被引：32

作者：

Sim, Inbo ^{[1
]}

Tanaka, Satoshi ^{[2
]}

机构：

[1] Univ Ulsan, Dept Math, Ulsan 680749, South Korea

[2] Okayama Univ Sci, Fac Sci, Dept Appl Math, Okayama 7000005, Japan

来源：

APPLIED MATHEMATICS LETTERS | 2015年 / 49卷

基金：

新加坡国家研究基金会;

关键词：

p-Laplacian; Three positive solutions; Bifurcation; A-priori bound; Boundary value problem; EIGENVALUE PROBLEMS; EXISTENCE; THEOREM;

D O I：

10.1016/j.aml.2015.04.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that one-dimensional p-Laplacian with a sign-changing weight which is subject to Dirichlet boundary condition has three positive solutions suggesting suitable conditions on the weight function and nonlinearity. Proofs are mainly based on the directions of a bifurcation. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：42 / 50

页数：9

共 15 条

[1] FIXED-POINT EQUATIONS AND NONLINEAR EIGENVALUE PROBLEMS IN ORDERED BANACH-SPACES [J].