Multiple positive solutions of singular eigenvalue type problems involving the one-dimensional p-Laplacian

被引：28

作者：

Sánchez, J ^{[1
]}

机构：

[1] Univ Santiago Chile, Fac Ciencia, Dept Matemat & Ciencia Computac, Santiago, Chile

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 292卷 / 02期

关键词：

one-dimensional p-Laplacian; singular problem; positive solution; multiplicity; fixed point index; fixed point theorem; cone; super-sublinearity;

D O I：

10.1016/j.jmaa.2003.12.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish a existence result of multiple positive solutions for a singular eigenvalue type problem involving the one-dimensional p-Laplacian. Furthermore, we obtain a nonexistence result of positive solutions by taking advantage of the internal geometric properties related to the problem. Our approach is based on the fixed point index theory and the fixed point theorem in cones. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：401 / 414

页数：14

共 50 条

[1] Multiple positive solutions for the one-dimensional singular p-Laplacian
Lü, HS
O'Regan, D
Zhong, CK
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2002, 133 (2-3) : 407 - 422
[2] Existence of positive solutions for singular boundary value problems involving the one-dimensional p-Laplacian
Kim, Chan-Gyun
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (12) : 4259 - 4267
[3] Multiple positive solutions to a class of singular boundary value problems for the one-dimensional p-laplacian
Jiang, DQ
Xu, XJ
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 47 (4-5) : 667 - 681
[4] Positive solutions for one-dimensional singular p-Laplacian boundary value problems
Song, Huijuan
Yin, Jingxue
Huang, Rui
[J]. ANNALES POLONICI MATHEMATICI, 2012, 105 (02) : 125 - 144
[5] STRICTLY POSITIVE SOLUTIONS FOR ONE-DIMENSIONAL NONLINEAR PROBLEMS INVOLVING THE p-LAPLACIAN
Kaufmann, U.
Medri, I.
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2014, 89 (02) : 243 - 251
[6] Multiple positive solutions for the one-dimensional p-Laplacian
Kong, LB
Wang, JY
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 42 (08) : 1327 - 1333
[7] Existence of positive solutions for the one-dimensional singular p-Laplacian
Yao, Zheng-an
Zhou, Wenshu
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (08) : 2309 - 2318
[8] Multiple positive solutions of the one-dimensional p-Laplacian
Lakmeche, A
Hammoudi, A
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 317 (01) : 43 - 49
[9] On positive solutions to equations involving the one-dimensional p-Laplacian
Ma, Ruyun
Lu, Yanqiong
Abubaker, Ahmed Omer Mohammed
[J]. BOUNDARY VALUE PROBLEMS, 2013,
[10] On positive solutions to equations involving the one-dimensional p-Laplacian
Ruyun Ma
Yanqiong Lu
Ahmed Omer Mohammed Abubaker
[J]. Boundary Value Problems, 2013

← 1 2 3 4 5 →