Infinitely Many Homoclinic Solutions for Second Order Nonlinear Difference Equations with p-Laplacian

Infinitely Many Homoclinic Solutions for Second Order Nonlinear Difference Equations with p-Laplacian

We employ Nehari manifold methods and critical point theory to study the existence of nontrivial homoclinic solutions of discrete p-Laplacian equations with a coercive weight function and superlinear nonlinearity. Without assuming the classical Ambrosetti-Rabinowitz condition and without any periodi...

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Main Authors: Guowei Sun, Ali Mai
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/276372
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spelling doaj-17362c29836244218173a4630a1171c22020-11-25T00:28:17ZengHindawi LimitedThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/276372276372Infinitely Many Homoclinic Solutions for Second Order Nonlinear Difference Equations with p-LaplacianGuowei Sun0Ali Mai1Department of Applied Mathematics, Yuncheng University, Yuncheng 044000, ChinaDepartment of Applied Mathematics, Yuncheng University, Yuncheng 044000, ChinaWe employ Nehari manifold methods and critical point theory to study the existence of nontrivial homoclinic solutions of discrete p-Laplacian equations with a coercive weight function and superlinear nonlinearity. Without assuming the classical Ambrosetti-Rabinowitz condition and without any periodicity assumptions, we prove the existence and multiplicity results of the equations.http://dx.doi.org/10.1155/2014/276372
collection DOAJ
language English
format Article
sources DOAJ
author Guowei Sun
Ali Mai
spellingShingle Guowei Sun
Ali Mai
Infinitely Many Homoclinic Solutions for Second Order Nonlinear Difference Equations with p-Laplacian
The Scientific World Journal
author_facet Guowei Sun
Ali Mai
author_sort Guowei Sun
title Infinitely Many Homoclinic Solutions for Second Order Nonlinear Difference Equations with p-Laplacian
title_short Infinitely Many Homoclinic Solutions for Second Order Nonlinear Difference Equations with p-Laplacian
title_full Infinitely Many Homoclinic Solutions for Second Order Nonlinear Difference Equations with p-Laplacian
title_fullStr Infinitely Many Homoclinic Solutions for Second Order Nonlinear Difference Equations with p-Laplacian
title_full_unstemmed Infinitely Many Homoclinic Solutions for Second Order Nonlinear Difference Equations with p-Laplacian
title_sort infinitely many homoclinic solutions for second order nonlinear difference equations with p-laplacian
publisher Hindawi Limited
series The Scientific World Journal
issn 2356-6140
1537-744X
publishDate 2014-01-01
description We employ Nehari manifold methods and critical point theory to study the existence of nontrivial homoclinic solutions of discrete p-Laplacian equations with a coercive weight function and superlinear nonlinearity. Without assuming the classical Ambrosetti-Rabinowitz condition and without any periodicity assumptions, we prove the existence and multiplicity results of the equations.
url http://dx.doi.org/10.1155/2014/276372
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AT alimai infinitelymanyhomoclinicsolutionsforsecondordernonlineardifferenceequationswithplaplacian
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