Existence results of sign-changing solutions for singular one-dimensional p-Laplacian problems

被引：20

作者：

Lee, Yong-Hoon ^{[1
]}

Sim, Inbo ^{[1
]}

机构：

[1] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 05期

基金：

新加坡国家研究基金会;

关键词：

singular boundary value problem; p-Laplacian; global bifurcation; existence; multiplicity;

D O I：

10.1016/j.na.2006.12.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider singular one-dimensional p-Laplacian problems with Dirichlet boundary condition [GRAPHICS] where phi(p) : R -> R is defined by phi(p)(x) = vertical bar x vertical bar(p-2) x, P > 1, h a nonnegative measurable function on (0, 1) which may be singular at t = 0 and/or t = 1 and f is an element of C(R, R). By applying the global bifurcation theorem and deriving the shape of the unbounded subcontinua of solutions, we obtain the existence and multiplicity results of sign-changing solutions for (P) + (D). (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1195 / 1209

页数：15

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