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.
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Online Access: | http://dx.doi.org/10.1080/23311835.2018.1428030 |
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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 |
_version_ |
1724215542662823936 |