The existence of positive solutions for nonlinear singular boundary value system with p-Laplacian

被引：25

作者：

Su, Hua ^{[1
]}

Wei, Zhongli

Xu, Fuyi

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China

[2] Shandong Univ, Sch Math & Syst Sci, Jinan 250100, Peoples R China

[3] Shandong Technol Univ, Sch Math & Informat Sci, Shandong 255049, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 181卷 / 02期

关键词：

p-Laplacian operator; singular boundary value problem; positive solution;

D O I：

10.1016/j.amc.2006.02.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of positive solutions for the following nonlinear singular boundary value problem with p-Laplacian: [GRAPHICS] where phi(p)vertical bar s vertical bar = vertical bar s vertical bar(p-2)s, p > 1, f is lower semi-continuous functions. By using the fixed-point theorem of cone expansion and compression of norm type, the existence of positive solution and infinitely many positive solutions for nonlinear singular boundary value problem p-Laplacian are obtained. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：826 / 836

页数：11

共 50 条

[1] Existence of positive solutions for nonlinear singular boundary value problem with p-Laplacian
Ji, Dehong
Yang, Yitao
Ge, Weigao
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2010, 33 (02) : 188 - 197
[2] Existence of positive solutions for p-Laplacian singular boundary value problems
Li, CZ
Ge, WG
[J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2003, 34 (01): : 187 - 203
[3] The existence of countably many positive solutions for a system of nonlinear singular boundary value problems with the p-Laplacian operator
Su, Hua
Wei, Zhongli
Xu, Fuyi
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (01) : 319 - 332
[4] Existence of positive solutions for singular fractional boundary value problems with p-Laplacian
Hamal, Nuket Aykut
Erkan, Furkan
[J]. FILOMAT, 2023, 37 (20) : 6867 - 6876
[5] Existence of Positive Solutions for a System of Singular Fractional Boundary Value Problems with p-Laplacian Operators
Alsaedi, Ahmed
Luca, Rodica
Ahmad, Bashir
[J]. MATHEMATICS, 2020, 8 (11) : 1 - 18
[6] Existence of Positive Solutions for the Nonlinear Fractional Boundary Value Problems with p-Laplacian
Chakuvinga, Tawanda Gallan
Topal, Fatma Serap
[J]. FILOMAT, 2021, 35 (09) : 2927 - 2949
[7] The existence of positive solutions for a nonlinear four-point singular boundary value problem with a p-Laplacian operator
Su, Hua
Wei, Zhongli
Wang, Baohe
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (10) : 2204 - 2217
[8] EXISTENCE OF POSITIVE SOLUTIONS FOR p-LAPLACIAN SINGULAR BOUNDARY VALUE PROBLEMS OF FUNCTIONAL DIFFERENTIAL EQUATION
Song Changxiu~1
[J]. Applied Mathematics:A Journal of Chinese Universities, 2005, (01) : 51 - 58
[9] Existence of positive solutions for p-Laplacian singular boundary value problems of functional differential equation
Song C.
Weng P.
[J]. Applied Mathematics-A Journal of Chinese Universities, 2005, 20 (1) : 51 - 58
[10] EXISTENCE OF POSITIVE SOLUTIONS FOR SINGULAR FOUR-POINT BOUNDARY VALUE PROBLEM WITH A p-LAPLACIAN
Miao, Chunmei
Zhao, Junfang
Ge, Weigao
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2009, 59 (04) : 957 - 973

← 1 2 3 4 5 →