Existence and multiplicity of homoclinic solutions for a difference equation

The aim of this article is to obtain homoclinic solutions for a discrete problem involving p-Laplacian. We prove the existence of at least one, two and three solutions for the problem. Our approach is based on variational methods.

Bibliographic Details
Main Authors:	Shapour Heidarkhani, Fariba Gharehgazlouei, Maurizio Imbesi
Format:	Article
Language:	English
Published:	Texas State University 2020-11-01
Series:	Electronic Journal of Differential Equations
Subjects:	difference equations discrete p-laplacian variational methods
Online Access:	http://ejde.math.txstate.edu/Volumes/2020/115/abstr.html

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spelling	doaj-21fd234102d3491d84c5fd034f5dc2332021-03-02T15:52:27ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912020-11-012020115,112Existence and multiplicity of homoclinic solutions for a difference equationShapour Heidarkhani0Fariba Gharehgazlouei1Maurizio Imbesi2 Razi Univ., Kermanshah, Iran Razi Univ., Kermanshah, Iran Univ. of Messina, Messina, Italy The aim of this article is to obtain homoclinic solutions for a discrete problem involving p-Laplacian. We prove the existence of at least one, two and three solutions for the problem. Our approach is based on variational methods.http://ejde.math.txstate.edu/Volumes/2020/115/abstr.htmldifference equationsdiscrete p-laplacianvariational methods
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Shapour Heidarkhani Fariba Gharehgazlouei Maurizio Imbesi
spellingShingle	Shapour Heidarkhani Fariba Gharehgazlouei Maurizio Imbesi Existence and multiplicity of homoclinic solutions for a difference equation Electronic Journal of Differential Equations difference equations discrete p-laplacian variational methods
author_facet	Shapour Heidarkhani Fariba Gharehgazlouei Maurizio Imbesi
author_sort	Shapour Heidarkhani
title	Existence and multiplicity of homoclinic solutions for a difference equation
title_short	Existence and multiplicity of homoclinic solutions for a difference equation
title_full	Existence and multiplicity of homoclinic solutions for a difference equation
title_fullStr	Existence and multiplicity of homoclinic solutions for a difference equation
title_full_unstemmed	Existence and multiplicity of homoclinic solutions for a difference equation
title_sort	existence and multiplicity of homoclinic solutions for a difference equation
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2020-11-01
description	The aim of this article is to obtain homoclinic solutions for a discrete problem involving p-Laplacian. We prove the existence of at least one, two and three solutions for the problem. Our approach is based on variational methods.
topic	difference equations discrete p-laplacian variational methods
url	http://ejde.math.txstate.edu/Volumes/2020/115/abstr.html
work_keys_str_mv	AT shapourheidarkhani existenceandmultiplicityofhomoclinicsolutionsforadifferenceequation AT faribagharehgazlouei existenceandmultiplicityofhomoclinicsolutionsforadifferenceequation AT maurizioimbesi existenceandmultiplicityofhomoclinicsolutionsforadifferenceequation
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Existence and multiplicity of homoclinic solutions for a difference equation

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