Positive solutions for the one-dimensional p-Laplacian

被引：3

作者：

Yang, XJ ^{[1
]}

机构：

[1] Tsing Hua Univ, Dept Math, Beijing 100084, Peoples R China

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2002年 / 35卷 / 1-2期

关键词：

p-Laplacian; positive solutions; shooting method;

D O I：

10.1016/S0895-7177(01)00155-8

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, the criterion for the existence of at least one positive solution of the one-dimensional p-Laplacian (b(t)Phi(u'))' + c(t)f(u) = 0, are obtained, where Phi(u) = \u\(p-1)u, p > 0 is a constant, and b(t) > 0 for t > 0. The method used in this paper is shooting method. (C) 2001 Elsevier Science Ltd. All rights reserved.

引用

页码：129 / 135

页数：7

共 50 条

[1] Three positive solutions for the one-dimensional p-Laplacian
Guo, YP
Ge, WG
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 286 (02) : 491 - 508
[2] Multiple positive solutions for the one-dimensional p-Laplacian
Kong, LB
Wang, JY
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 42 (08) : 1327 - 1333
[3] TRIPLE POSITIVE SOLUTIONS FOR THE ONE-DIMENSIONAL p-LAPLACIAN
Bai, Zhanbing
Ma, Mingfu
Liang, Xiangqian
[J]. TAMKANG JOURNAL OF MATHEMATICS, 2006, 37 (01): : 15 - 25
[4] 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
[5] PAIRS OF POSITIVE SOLUTIONS FOR THE ONE-DIMENSIONAL P-LAPLACIAN
DECOSTER, C
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 23 (05) : 669 - 681
[6] The existence of positive solutions for the one-dimensional p-Laplacian
Wang, JY
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (08) : 2275 - 2283
[7] On positive solutions to equations involving the one-dimensional p-Laplacian
Ma, Ruyun
Lu, Yanqiong
Abubaker, Ahmed Omer Mohammed
[J]. BOUNDARY VALUE PROBLEMS, 2013,
[8] On positive solutions to equations involving the one-dimensional p-Laplacian
Ruyun Ma
Yanqiong Lu
Ahmed Omer Mohammed Abubaker
[J]. Boundary Value Problems, 2013
[9] Existence of multiple positive solutions for one-dimensional p-Laplacian
Wang, YY
Hou, CM
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 315 (01) : 144 - 153
[10] 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

← 1 2 3 4 5 →