Existence of three distinct solutions to boundary value problems of nonlinear differential equations with a p-Laplacian operator

被引：5

作者：

Xie, Jingli ^{[1
,2
]}

Luo, Zhiguo ^{[1
]}

机构：

[1] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China

[2] Jishou Univ, Coll Math & Stat, Jishou 416000, Hunan, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2014年 / 27卷

关键词：

Critical point theorem; Three solutions; Boundary value problem; CRITICAL-POINTS THEOREM; VARIATIONAL-METHODS; POSITIVE SOLUTIONS; MULTIPLICITY;

D O I：

10.1016/j.aml.2013.06.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by employing a critical point theorem, we establish the existence of three distinct solutions to boundary value problems of nonlinear differential equations with a p-Laplacian operator. To demonstrate the applicability of the our results, we also present an example. (C) 2013 Published by Elsevier Ltd

引用

页码：101 / 106

页数：6

共 50 条

[41] Three solutions to Dirichlet boundary value problems for p-Laplacian difference equations
Jiang, Liqun
Zhou, Zhan
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2008, 2008 (1)
[42] Three positive solutions of boundary value problems for p-Laplacian difference equations
Wang, Da-Bin
Guan, Wen
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 55 (09) : 1943 - 1949
[43] MULTIPLE SOLUTIONS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN OPERATOR AND NONLINEAR BOUNDARY CONDITIONS
Liu, Yiliang
Lu, Liang
[J]. MATHEMATICA SLOVACA, 2015, 65 (01) : 79 - 92
[44] Existence of solutions for fractional impulsive differential equations with p-Laplacian operator
Zhenhai Liu
Liang Lu
Iván Szántó
[J]. Acta Mathematica Hungarica, 2013, 141 : 203 - 219
[45] Existence of positive solution to boundary value problem of fractional differential equations with p-Laplacian operator
Tian, Yuansheng
Li, Xiaoping
[J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2015, 47 (1-2) : 237 - 248
[46] EXISTENCE OF SOLUTIONS FOR FRACTIONAL IMPULSIVE DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN OPERATOR
Liu, Z.
Lu, L.
Szanto, I.
[J]. ACTA MATHEMATICA HUNGARICA, 2013, 141 (03) : 203 - 219
[47] Existence of solutions for the boundary value problem of non-instantaneous impulsive fractional differential equations with p-Laplacian operator
Li, Yiyun
Xie, Jingli
Mao, Luping
[J]. AIMS MATHEMATICS, 2022, 7 (09): : 17592 - 17602
[48] AN EXISTENCE RESULT FOR SOLUTIONS OF NONLINEAR STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS FOR HIGHER-ORDER p-LAPLACIAN DIFFERENTIAL EQUATIONS
Liu, Yuji
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2009, 39 (01) : 147 - 163
[49] Existence and Uniqueness of Positive Solutions of Boundary-Value Problems for Fractional Differential Equations with p-Laplacian Operator and Identities on the Some Special Polynomials
Sen, Erdogan
Acikgoz, Mehmet
Seo, Jong Jin
Araci, Serkan
Orucoglu, Kamil
[J]. JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2013,
[50] Positive Solutions of Singular Boundary Value Problems with p-Laplacian Operator
Jiang, Yanjun
Liu, Quanhui
Zhang, Min
[J]. PROCEEDINGS OF 2009 INTERNATIONAL CONFERENCE ON INFORMATION, ELECTRONIC AND COMPUTER SCIENCE, VOLS I AND II, 2009, : 685 - 688

← 1 2 3 4 5 →