Ground state solutions for second order nonlinear p-Laplacian difference equations with periodic coefficients

被引：0

作者：

Mai, Ali ^{[1
]}

Sun, Guowei ^{[1
]}

机构：

[1] Yuncheng Univ, Dept Appl Math, Yuncheng 044000, Shanxi, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2017年 / 22卷 / 07期

基金：

中国国家自然科学基金;

关键词：

P-Laplacian Difference equations; Nehari manifold; Ground state solutions; Critical point theory; POSITIVE SOLUTIONS; EXISTENCE;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We study the existence of homoclinic solutions for nonlinear p-Laplacian difference equations with periodic coefficients. The proof of the main result is based on the critical point theory in combination with the Nehari manifold approach. Under rather weaker conditions, we obtain the existence of ground state solutions and considerably improve some existing ones even for some special cases.

引用

页码：1288 / 1297

页数：10

共 13 条

[1]

[Anonymous], ABSTR APPL AN

[2] Existence of three positive pseudo-symmetric solutions for a one dimensional discrete p-Laplacian [J].

Avery, R ;

Henderson, J .

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2004, 10 (06) :529-539

[3] Multiple solutions for discrete boundary value problems [J].

Cabada, Alberto ;

Iannizzotto, Antonio ;

Tersian, Stepan .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 356 (02) :418-428

[4] On the existence of positive solutions of p-Laplacian difference equations [J].

He, ZM .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 161 (01) :193-201

[5] Three solutions to Dirichlet boundary value problems for p-Laplacian difference equations [J].

Jiang, Liqun ;

Zhou, Zhan .

ADVANCES IN DIFFERENCE EQUATIONS, 2008, 2008 (1)

[6] Existence of positive solutions of p-Laplacian difference equations [J].

Li, Yongkun ;

Lu, Linghong .

APPLIED MATHEMATICS LETTERS, 2006, 19 (10) :1019-1023

[7] Multiple Solutions for the Discrete p-Laplacian Boundary Value Problems [J].

Long, Yuhua ;

Shi, Haiping .

DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2014, 2014

[8] Homoclinic orbits and subharmonics for nonlinear second order difference equations [J].

ma, Manjun ;

Guo, Zhiming .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (06) :1737-1745

[9] Homoclinic Solutions for a Class of Nonlinear Difference Equations [J].

Mai, Ali ;

Zhou, Zhan .

JOURNAL OF APPLIED MATHEMATICS, 2014,

[10] Discrete solitons for periodic discrete nonlinear Schrodinger equations [J].

Mai, Ali ;

Zhou, Zhan .

APPLIED MATHEMATICS AND COMPUTATION, 2013, 222 :34-41

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