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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Detalles Bibliográficos
Autores principales: Sun, Guowei, Mai, Ali
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4052069/
https://www.ncbi.nlm.nih.gov/pubmed/24959604
http://dx.doi.org/10.1155/2014/276372
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author Sun, Guowei
Mai, Ali
author_facet Sun, Guowei
Mai, Ali
author_sort Sun, Guowei
collection PubMed
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.
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spelling pubmed-40520692014-06-23 Infinitely Many Homoclinic Solutions for Second Order Nonlinear Difference Equations with p-Laplacian Sun, Guowei Mai, Ali ScientificWorldJournal Research Article 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. Hindawi Publishing Corporation 2014 2014-05-14 /pmc/articles/PMC4052069/ /pubmed/24959604 http://dx.doi.org/10.1155/2014/276372 Text en Copyright © 2014 G. Sun and A. Mai. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Sun, Guowei
Mai, Ali
Infinitely Many Homoclinic Solutions for Second Order Nonlinear Difference Equations with p-Laplacian
title 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_short 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
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4052069/
https://www.ncbi.nlm.nih.gov/pubmed/24959604
http://dx.doi.org/10.1155/2014/276372
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