Existence, multiplicity and infinite solvability of positive solutions for one-dimensional p-Laplacian

被引：11

作者：

Yao, QL ^{[1
]}

机构：

[1] Nanjing Univ Finance & Econ, Dept Appl Math, Nanjing 210003, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2005年 / 21卷 / 04期

关键词：

one-dimensional p-Laplacian; positive solution; existence; multiplicity; infinite solvability;

D O I：

10.1007/s10114-004-0401-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence, multiplicity and infinite solvability of positive solutions are established for some two-point boundary value problems of one-dimensional p-Laplacian. In this paper, by multiplicity we mean the existence of m solutions, where m is an arbitrary natural number.

引用

页码：691 / 698

页数：8

共 50 条

[1] Existence,Multiplicity and Infinite Solvability of Positive Solutions for One-Dimensional p-Laplacian
Qing Liu YAO Department of Applied Mathematics
Acta Mathematica Sinica(English Series), 2005, 21 (04) : 691 - 698
[2] Existence, Multiplicity and Infinite Solvability of Positive Solutions for One–Dimensional p–Laplacian
Qing Liu Yao
Acta Mathematica Sinica, 2005, 21 : 691 - 698
[3] EXISTENCE, MULTIPLICITY AND INFINITE SOLVABILITY OF POSITIVE SOLUTIONS FOR p-LAPLACIAN DYNAMIC EQUATIONS ON TIME SCALES
Wang, Da-Bin
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2006,
[4] 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
[5] Existence of multiple positive solutions for one-dimensional p-Laplacian operator
Ji D.
Ge W.
Journal of Applied Mathematics and Computing, 2008, 26 (1-2) : 451 - 463
[6] Existence and multiplicity of positive solutions for one-dimensional p-Laplacian problem with sign-changing weight
Miao, Liangying
Xu, Man
He, Zhiqian
ELECTRONIC RESEARCH ARCHIVE, 2023, 31 (06): : 3086 - 3096
[7] Existence of multiple positive solutions for one-dimensional p-Laplacian
Wang, YY
Hou, CM
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 315 (01) : 144 - 153
[8] MULTIPLICITY OF POSITIVE SOLUTIONS TO MULTIPOINT BOUNDARY VALUE PROBLEM WITH ONE-DIMENSIONAL p-LAPLACIAN
Zhiyu Zhang (Dept. of Math.
Annals of Applied Mathematics, 2010, (04) : 484 - 493
[9] POSITIVE SOLUTIONS OF BVPS FOR INFINITE DIFFERENCE EQUATIONS WITH ONE-DIMENSIONAL p-LAPLACIAN
Xia, Jianye
Liu, Yuji
MISKOLC MATHEMATICAL NOTES, 2012, 13 (01) : 149 - 176
[10] On positive solutions to equations involving the one-dimensional p-Laplacian
Ma, Ruyun
Lu, Yanqiong
Abubaker, Ahmed Omer Mohammed
BOUNDARY VALUE PROBLEMS, 2013,

← 1 2 3 4 5 →