Twin solutions to singular Dirichlet problems

被引：73

作者：

Agarwal, RP

O'Regan, D

机构：

[1] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore

[2] Natl Univ Ireland Univ Coll Galway, Dept Math, Galway, Ireland

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1999年 / 240卷 / 02期

关键词：

Dirichlet problem; fixed point theorems; multiple solutions; singular problems;

D O I：

10.1006/jmaa.1999.6597

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of two nonnegative solutions to Dirichlet second order boundary value problems is established in this paper. Our nonlinearity may be singular at y = 0, t = 0, and/or t = 1. (C) 1999 Academic Press.

引用

页码：433 / 445

页数：13

共 9 条

[1] Nonlinear superlinear singular and nonsingular second order boundary value problems [J].

Agarwal, RP ;

O'Regan, D .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1998, 143 (01) :60-95

[2]

AGARWAL RP, IN PRESS P AM MATH S

[3]

Deimling K., 1985, NONLINEAR FUNCTIONAL, DOI DOI 10.1007/978-3-662-00547-7

[4] SINGULAR NONLINEAR BOUNDARY-VALUE-PROBLEMS FOR HIGHER-ORDER ORDINARY DIFFERENTIAL-EQUATIONS [J].

ELOE, PW ;

HENDERSON, J .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1991, 17 (01) :1-10

[5] Inequalities based on a generalization of concavity [J].

Eloe, PW ;

Henderson, J .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (07) :2103-2107

[6] MULTIPLE POSITIVE SOLUTIONS OF SOME BOUNDARY-VALUE-PROBLEMS [J].

ERBE, LH ;

HU, SC ;

WANG, HY .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 184 (03) :640-648

[7]

O'Regan D., 1995, DIFF EQUAT, V3, P289

[8]

O'Regan D., 1997, Existence Theory for nonlinear ordinary differential equations

[9]

ORegan D, 1997, DYN CONTIN DISCRET I, V3, P517

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