Positive solutions of systems of singular Hammerstein integral equations with applications to semilinear elliptic equations in annuli

被引：21

作者：

Lan, K. Q. ^{[1
]}

Lin, W. ^{[2
]}

机构：

[1] Ryerson Univ, Dept Math, Toronto, ON M5B 2K3, Canada

[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 18期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Singular Hammerstein integral equations; Semilinear elliptic systems; Positive solutions; Radial solutions; Fixed point index; BOUNDARY-VALUE-PROBLEMS; RADIAL SOLUTIONS; DIFFERENTIAL-EQUATIONS; EXISTENCE; MULTIPLICITY; CRITERIA; DOMAINS;

D O I：

10.1016/j.na.2011.07.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of multiple positive solutions of systems of singular Hammerstein integral equations is studied, where the nonlinearities involved are allowed to have singularities in their second variables and satisfy weaker conditions involving the first eigenvalues of the corresponding linear Hammerstein integral operators. Such systems contain some mathematical models arising in science and engineering. Applications are given to the existence of multiple positive radial solutions of systems of semilinear singular elliptic equations in annuli on which, to the best of our knowledge, there has been little study. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：7184 / 7197

页数：14

共 37 条

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