Infinitely Many Solutions for Discrete Boundary Value Problems with the p,q-Laplacian Operator

Infinitely Many Solutions for Discrete Boundary Value Problems with the p,q-Laplacian Operator

In this paper, we consider the existence and multiplicity of solutions for a discrete Dirichlet boundary value problem involving the p,q-Laplacian. By using the critical point theory, we obtain the existence of infinitely many solutions under some suitable assumptions on the nonlinear term. Also, by...

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Main Authors: Zhuomin Zhang, Zhan Zhou
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/1980285
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spelling doaj-e41bbe41eb9d40ee8bbf7e9c40b9324c2021-10-11T00:39:02ZengHindawi LimitedJournal of Function Spaces2314-88882021-01-01202110.1155/2021/1980285Infinitely Many Solutions for Discrete Boundary Value Problems with the p,q-Laplacian OperatorZhuomin Zhang0Zhan Zhou1School of Mathematics and Information ScienceSchool of Mathematics and Information ScienceIn this paper, we consider the existence and multiplicity of solutions for a discrete Dirichlet boundary value problem involving the p,q-Laplacian. By using the critical point theory, we obtain the existence of infinitely many solutions under some suitable assumptions on the nonlinear term. Also, by our strong maximum principle, we can obtain the existence of infinitely many positive solutions.http://dx.doi.org/10.1155/2021/1980285
collection DOAJ
language English
format Article
sources DOAJ
author Zhuomin Zhang
Zhan Zhou
spellingShingle Zhuomin Zhang
Zhan Zhou
Infinitely Many Solutions for Discrete Boundary Value Problems with the p,q-Laplacian Operator
Journal of Function Spaces
author_facet Zhuomin Zhang
Zhan Zhou
author_sort Zhuomin Zhang
title Infinitely Many Solutions for Discrete Boundary Value Problems with the p,q-Laplacian Operator
title_short Infinitely Many Solutions for Discrete Boundary Value Problems with the p,q-Laplacian Operator
title_full Infinitely Many Solutions for Discrete Boundary Value Problems with the p,q-Laplacian Operator
title_fullStr Infinitely Many Solutions for Discrete Boundary Value Problems with the p,q-Laplacian Operator
title_full_unstemmed Infinitely Many Solutions for Discrete Boundary Value Problems with the p,q-Laplacian Operator
title_sort infinitely many solutions for discrete boundary value problems with the p,q-laplacian operator
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8888
publishDate 2021-01-01
description In this paper, we consider the existence and multiplicity of solutions for a discrete Dirichlet boundary value problem involving the p,q-Laplacian. By using the critical point theory, we obtain the existence of infinitely many solutions under some suitable assumptions on the nonlinear term. Also, by our strong maximum principle, we can obtain the existence of infinitely many positive solutions.
url http://dx.doi.org/10.1155/2021/1980285
work_keys_str_mv AT zhuominzhang infinitelymanysolutionsfordiscreteboundaryvalueproblemswiththepqlaplacianoperator
AT zhanzhou infinitelymanysolutionsfordiscreteboundaryvalueproblemswiththepqlaplacianoperator
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