Bifurcation of sign-changing solutions for one-dimensional p-Laplacian with a strong singular weight: p-superlinear at ∞

被引：8

作者：

Kajikiya, Ryuji ^{[2
]}

Lee, Yong-Hoon ^{[1
]}

Sim, Inbo ^{[3
]}

机构：

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

[2] Saga Univ, Dept Math, Fac Sci & Engn, Saga 8408502, Japan

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 17期

基金：

日本学术振兴会;

关键词：

p-Laplace equation; Singular weight; Leray-Schauder degree; Bifurcation; Positive solutions; Sign-changing solutions; BOUNDARY-VALUE-PROBLEMS; SUBLINEAR NONLINEARITIES; DIFFERENTIAL-EQUATIONS; 2ND-ORDER; EXISTENCE; EIGENVALUE;

D O I：

10.1016/j.na.2011.03.058

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate Dirichlet boundary value problems of one-dimensional p-Laplace equations with a singular weight which may not be in L(1). Using the properties of eigenfunctions and the global bifurcation theory and considering the case, p-superlinear at infinity, we obtain the similar results as seen in [1] of the case, p-sublinear at infinity. Moreover, we obtain the existence of sign-changing solutions when the nonlinear term is asymptotically p-sublinear near O and p-superlinear at infinity. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：5833 / 5843

页数：11

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