An existence and uniqueness result for the singular Lane-Emden-Fowler equation

被引:8
作者
Guo Chunmei [1 ]
Zhai Chengbo [1 ]
Song Ruipeng [1 ]
机构
[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China
关键词
Existence and uniqueness; Positive solution; Fixed point theorem of general alpha-concave operators; Singular Lane-Emden-Fowler equation; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTIONS;
D O I
10.1016/j.na.2009.08.016
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Using a fixed point theorem of general alpha-concave operators, we present in this paper criteria which guarantee the existence and uniqueness of positive solutions for the singular Lane-Emden-Fowler equation. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1275 / 1279
页数:5
相关论文
共 28 条
[1]  
Adams A., 2003, Sobolev Spaces, V140
[2]   Singular boundary value problems for superlinear second order ordinary and delay differential equations [J].
Agarwal, RP ;
ORegan, D .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1996, 130 (02) :333-355
[3]  
Agarwal RP, 2001, Z ANAL ANWEND, V20, P727
[4]   Existence theory for single and multiple solutions to singular positone boundary value problems [J].
Agarwal, RP .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2001, 175 (02) :393-414
[5]  
[Anonymous], 1968, LINEAR QUASILINEAR E
[6]  
[Anonymous], 2002, APPL ANAL
[7]  
[Anonymous], J MATH ANAL APPL
[8]  
BREZIS H, 1993, CR ACAD SCI I-MATH, V317, P465
[9]   ON A SINGULAR NONLINEAR DIRICHLET PROBLEM [J].
COCLITE, MM ;
PALMIERI, G .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1989, 14 (10) :1315-1327
[10]   Existence and nonexistence of positive solutions for singular semilinear elliptic boundary value problems [J].
Cui, SB .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 41 (1-2) :149-176