The positive solutions of boundary value problems for a class of one-dimensional p-Laplacians

被引：6

作者：

Cheng, Hangang ^{[1
]}

Shao, Yanfang ^{[1
]}

机构：

[1] Yantai Univ, Dept Math, Shandong 264005, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 04期

基金：

中国国家自然科学基金;

关键词：

p-Laplacian; boundary value problem; positive solution time;

D O I：

10.1016/j.na.2006.11.044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the exact number of positive Solutions for boundary value problems (vertical bar u'vertical bar(p-2)u')' + lambda f(u) = 0 and u(- 1) = u(1) = 0, where p > 1 and lambda > 0 is a positive parameter. We consider the case in which the nonlinearity f changes sign from positive to negative on (0, infinity). For example, f (u) = u(alpha) - u(beta) where beta > alpha > -infinity. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：883 / 891

页数：9

共 7 条

[1] Exact multiplicity results for a p -Laplacian problem with concave-convex-concave nonlinearities [J].

Addou, Idris ;

Wang, Shin-Hwa .

Nonlinear Analysis, Theory, Methods and Applications, 2003, 53 (01) :111-137

[2] Evolution of positive solution curves in semipositone problems with concave nonlinearities [J].

Castro, A ;

Gadam, S ;

Shivaji, R .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 245 (01) :282-293

[3] Exact number of positive solutions for a class of sernipositone problems [J].

Cheng, JG .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 280 (02) :197-208

[4]

Cheng Y., 2002, DIFFERENTIAL INTEGRA, V15, p[9, 1025]

[5] Exact multiplicity for degenerate two-point boundary value problems with p-convex nonlinearity [J].

Karátson, J ;

Simon, PL .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (06) :1569-1590

[6] Exact number of solutions of a class of two-point boundary value problems involving concave and convex nonlinearities [J].

Liu, ZL .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 46 (02) :181-197

[7] An exact multiplicity theorem involving concave-convex nonlinearities and its application to stationary solutions of a singular diffusion problem [J].

Wang, SH ;

Long, DM .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 44 (04) :469-486

← 1 →