Positive solutions of Neumann problems with singularities

被引:23
作者
Chu, Jifeng [1 ]
Sun, Yigang [1 ]
Chen, Hao [2 ]
机构
[1] Hohai Univ, Coll Sci, Dept Appl Math, Nanjing 210098, Peoples R China
[2] Army Command Coll, Dept 2, Nanjing 210045, Peoples R China
关键词
positive solutions; Neumann boundary conditions; singular equations; Leray-Schauder alternative principle; truncation technique;
D O I
10.1016/j.jmaa.2007.04.070
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study the existence of positive solutions to second order singular equations with Neumann boundary conditions. The proof of the main result relies on a nonlinear alternative principle of Leray-Schauder, together with a truncation technique. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码:1267 / 1272
页数:6
相关论文
共 10 条
[1]   A positive operator approach to the Neumann problem for a second order ordinary differential equation [J].
Cabada, A ;
Sanchez, L .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 204 (03) :774-785
[2]   Monotone method for the Neumann problem with lower and upper solutions in the reverse order [J].
Cabada, A ;
Habets, P ;
Lois, S .
APPLIED MATHEMATICS AND COMPUTATION, 2001, 117 (01) :1-14
[3]   Existence result for the problem (φ(u′))′=f(t,u,u′) with periodic and Neumann boundary conditions. [J].
Cabada, A ;
Pouso, RL .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (03) :1733-1742
[4]  
Cañada A, 2005, MATH INEQUAL APPL, V8, P459
[5]  
De Coster C., 1996, CISM COURSES LECT, V371, P1
[6]  
Jiang D.Q., 2000, J MATH RES EXPOSITIO, V20, P360
[7]   Multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces [J].
Jiang, DQ ;
Chu, JF ;
O'Regan, D ;
Agarwal, RP .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 286 (02) :563-576
[8]  
Krasnoselskii M. A., 1964, Positive Solutions of Operator Equations
[9]   Multiple positive solutions to second-order Neumann boundary value problems [J].
Sun, JP ;
Li, WT .
APPLIED MATHEMATICS AND COMPUTATION, 2003, 146 (01) :187-194
[10]   Monotone method for singular Neumann problem [J].
Yazidi, N .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 49 (05) :589-602