Positive solutions for one-dimensional singular p-Laplacian boundary value problems

被引：0

作者：

Song, Huijuan ^{[1
]}

Yin, Jingxue ^{[2
]}

Huang, Rui ^{[2
]}

机构：

[1] Jilin Univ, Dept Math, Changchun 130012, Peoples R China

[2] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

ANNALES POLONICI MATHEMATICI | 2012年 / 105卷 / 02期

关键词：

p-Laplacian; positive solution; Sturm-Liouville boundary conditions; HALF-LINE; EXISTENCE;

D O I：

10.4064/ap105-2-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the existence of positive solutions of the equation 1/lambda(t)(lambda(t)phi(p)(x'(t)))' + mu f(t, x(t), x'(t)) = 0, where phi(p)(s) = vertical bar s vertical bar(p-2)s,p > 1, subject to some singular Sturm-Liouville boundary conditions. Using the Krasnosel'skii fixed point theorem for operators on cones, we prove the existence of positive solutions under some structure conditions.

引用

页码：125 / 144

页数：20

共 50 条

[21] A singular boundary value problem for the one-dimensional p-Laplacian
Wang, JY
Gao, WJ
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 201 (03) : 851 - 866
[22] Multiple positive solutions for the one-dimensional singular p-Laplacian
Lü, HS
O'Regan, D
Zhong, CK
APPLIED MATHEMATICS AND COMPUTATION, 2002, 133 (2-3) : 407 - 422
[23] Existence of positive solutions for the one-dimensional singular p-Laplacian
Yao, Zheng-an
Zhou, Wenshu
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (08) : 2309 - 2318
[24] EXISTENCE OF POSITIVE SOLUTIONS TO BOUNDARY VALUE PROBLEM FOR ONE-DIMENSIONAL p-LAPLACIAN
Yujun Cui
Shu Zhang
Annals of Differential Equations, 2014, 30 (02) : 137 - 143
[25] EXISTENCE OF POSITIVE SOLUTIONS TO BOUNDARY VALUE PROBLEM FOR ONE-DIMENSIONAL p-LAPLACIAN
Yujun Cui
Shu Zhang
Annals of Applied Mathematics, 2014, (02) : 137 - 143
[26] Extremal solutions of periodic boundary value problems for one-dimensional p-Laplacian
Zhang, FB
CONTEMPORARY DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2004, : 141 - 152
[27] MULTIPLE POSITIVE SOLUTIONS FOR SINGULAR BOUNDARY VALUE PROBLEMS WITH p-LAPLACIAN
Wu Zheng~(1
2.Dept.of Basic Course
Annals of Differential Equations, 2007, (04) : 519 - 524
[28] Existence of positive solutions for p-Laplacian singular boundary value problems
Li, CZ
Ge, WG
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2003, 34 (01): : 187 - 203
[29] Positive Solutions of Singular Boundary Value Problems with p-Laplacian Operator
Jiang, Yanjun
Liu, Quanhui
Zhang, Min
PROCEEDINGS OF 2009 INTERNATIONAL CONFERENCE ON INFORMATION, ELECTRONIC AND COMPUTER SCIENCE, VOLS I AND II, 2009, : 685 - 688
[30] Positive solutions for m-point boundary-value problems with one-dimensional p-Laplacian
Zhang X.
Liu L.
Journal of Applied Mathematics and Computing, 2011, 37 (1-2) : 523 - 531

← 1 2 3 4 5 →