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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 337卷 / 02期

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

页码：1267 / 1272

页数：6

共 50 条

[1] Multiple positive solutions of nonlinear Neumann problems with time and space singularities
Yao, Qingliu
APPLIED MATHEMATICS LETTERS, 2012, 25 (02) : 93 - 98
[2] Positive solutions for Neumann elliptic problems involving critical Hardy-Sobolev exponent with boundary singularities
Shang, Yan-Ying
Tang, Chun-Lei
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (03) : 1302 - 1320
[3] Positive solutions for a class of semipositone Neumann problems
Chen, Tianlan
Ma, Ruyun
BOUNDARY VALUE PROBLEMS, 2016, : 1 - 12
[4] About the number of positive solutions of Neumann problems
Li, PL
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 26 (08) : 1447 - 1459
[5] About the number of positive solutions of Neumann problems
Li, Ping Li
Nonlinear Analysis, Theory, Methods and Applications, 1996, 26 (08): : 1447 - 1459
[6] Positive solutions for a class of semipositone Neumann problems
Tianlan Chen
Ruyun Ma
Boundary Value Problems, 2016
[7] Multiple positive solutions for a class of Neumann problems
Gao, Hongliang
Ma, Ruyun
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2015, (48) : 1 - 7
[8] POSITIVE SOLUTIONS FOR NONLINEAR NEUMANN EIGENVALUE PROBLEMS
Gasinski, Leszek
Papageorgiou, Nikolaos S.
DYNAMIC SYSTEMS AND APPLICATIONS, 2012, 21 (2-3): : 235 - 250
[9] About the number of positive solutions of Neumann problems
Nonlinear Anal Theory Methods Appl, 8 (1447):
[10] Neumann problems with time singularities
Rachunkova, Irena
Stanek, Svatoslav
Weinmueller, Ewa
Zenz, Michael
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (03) : 722 - 733

← 1 2 3 4 5 →