Existence of infinitely many solutions for a class of difference equations with boundary value conditions involving p(k)-Laplacian operator

The existence of infinitely many solutions was investigated for an anisotropic discrete non-linear problem involving p(k)-Laplacian operator with Dirichlet boundary value condition. The technical approach is based on a local minimum theorem for differentiable functionals in finite dimensional space.

Bibliographic Details
Main Author: M. Khaleghi Moghadam
Format: Article
Language:English
Published: Taylor & Francis Group 2018-01-01
Series:Cogent Mathematics & Statistics
Subjects:
Online Access:http://dx.doi.org/10.1080/23311835.2018.1428030
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spelling doaj-15d822380d764e3ebf04693135e88b822021-03-18T15:46:33ZengTaylor & Francis GroupCogent Mathematics & Statistics2574-25582018-01-015110.1080/23311835.2018.14280301428030Existence of infinitely many solutions for a class of difference equations with boundary value conditions involving p(k)-Laplacian operatorM. Khaleghi Moghadam0Sari Agricultural Sciences and Natural Resources UniversityThe existence of infinitely many solutions was investigated for an anisotropic discrete non-linear problem involving p(k)-Laplacian operator with Dirichlet boundary value condition. The technical approach is based on a local minimum theorem for differentiable functionals in finite dimensional space.http://dx.doi.org/10.1080/23311835.2018.1428030discrete non-linear boundary value probleminfinitely many solutionsvariational methodscritical point theory
collection DOAJ
language English
format Article
sources DOAJ
author M. Khaleghi Moghadam
spellingShingle M. Khaleghi Moghadam
Existence of infinitely many solutions for a class of difference equations with boundary value conditions involving p(k)-Laplacian operator
Cogent Mathematics & Statistics
discrete non-linear boundary value problem
infinitely many solutions
variational methods
critical point theory
author_facet M. Khaleghi Moghadam
author_sort M. Khaleghi Moghadam
title Existence of infinitely many solutions for a class of difference equations with boundary value conditions involving p(k)-Laplacian operator
title_short Existence of infinitely many solutions for a class of difference equations with boundary value conditions involving p(k)-Laplacian operator
title_full Existence of infinitely many solutions for a class of difference equations with boundary value conditions involving p(k)-Laplacian operator
title_fullStr Existence of infinitely many solutions for a class of difference equations with boundary value conditions involving p(k)-Laplacian operator
title_full_unstemmed Existence of infinitely many solutions for a class of difference equations with boundary value conditions involving p(k)-Laplacian operator
title_sort existence of infinitely many solutions for a class of difference equations with boundary value conditions involving p(k)-laplacian operator
publisher Taylor & Francis Group
series Cogent Mathematics & Statistics
issn 2574-2558
publishDate 2018-01-01
description The existence of infinitely many solutions was investigated for an anisotropic discrete non-linear problem involving p(k)-Laplacian operator with Dirichlet boundary value condition. The technical approach is based on a local minimum theorem for differentiable functionals in finite dimensional space.
topic discrete non-linear boundary value problem
infinitely many solutions
variational methods
critical point theory
url http://dx.doi.org/10.1080/23311835.2018.1428030
work_keys_str_mv AT mkhaleghimoghadam existenceofinfinitelymanysolutionsforaclassofdifferenceequationswithboundaryvalueconditionsinvolvingpklaplacianoperator
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