Positive solutions for continuous and discrete boundary value problems to the one-dimension p-Laplacian

被引：34

作者：

Jiang, DQ ^{[1
]}

Chu, JF

O'Regan, D

Agarwal, RP

机构：

[1] NE Normal Univ, Dept Math, Changchun 130024, Peoples R China

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

[3] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2004年 / 7卷 / 04期

关键词：

positive solutions; continuous and discrete boundary value problem; p-Laplacian; fixed point theorem in cones;

D O I：

10.7153/mia-07-53

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

New existence results (for positive solutions) for continuous and discrete boundary value problems to the one-dimension p-Laplacian are presented in this paper. Here we use a well-known fixed point theorem in cones. Our results improve several recent results established in the literature.

引用

页码：523 / 534

页数：12

共 24 条

[1] Agarwal R.P., 1999, POSITIVE SOLUTIONS D
[2] Eigenvalues and the one-dimensional p-Laplacian
Agarwal, RP
Lü, HS
O'Regan, D
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 266 (02) : 383 - 400
[3] Boundary value problems for discrete equations
Agarwal, RP
ORegan, D
[J]. APPLIED MATHEMATICS LETTERS, 1997, 10 (04) : 83 - 89
[4] Nonpositone discrete boundary value problems
Agarwal, RP
O'Regan, D
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 39 (02) : 207 - 215
[5] Singular discrete boundary value problems
Agarwal, RP
O'Regan, D
[J]. APPLIED MATHEMATICS LETTERS, 1999, 12 (04) : 127 - 131
[6] Ben-Naoum A.K., 1997, DIFFERENTIAL INTEGRA, V10, P1093
[7] PAIRS OF POSITIVE SOLUTIONS FOR THE ONE-DIMENSIONAL P-LAPLACIAN
DECOSTER, C
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 23 (05) : 669 - 681
[8] Deimling K., 2010, NONLINEAR FUNCTIONAL, DOI DOI 10.1007/978-3-662-00547-7
[9] Existence and multiplicity of positive solutions for elliptic systems
Dunninger, DR
Wang, HY
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 29 (09) : 1051 - 1060
[10] Multiplicity of positive radial solutions for an elliptic system on an annulus
Dunninger, DR
Wang, HY
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 42 (05) : 803 - 811

← 1 2 3 →