Existence results to a nonlinear p(k)-Laplacian difference equation

Mohsen Khaleghi Moghadam; Mustafa Avci

doi:10.1080/10236198.2017.1354991

Existence results to a nonlinear p(k)-Laplacian difference equation

Mohsen Khaleghi Moghadam
, Mustafa Avci

Centre for Science

Sari Agricultural Sciences and Natural Resources University

Research output: Contribution to journal › Journal Article › peer-review

16 Citations (Scopus)

Abstract

In the present paper, by using variational method, the existence of non-trivial solutions to an anisotropic discrete non-linear problem involving p(k)-Laplacian operator with Dirichlet boundary condition is investigated. The main technical tools applied here are the two local minimum theorems for differentiable functionals given by Bonanno.

Original language	English
Pages (from-to)	1652-1669
Number of pages	18
Journal	Journal of Difference Equations and Applications
Volume	23
Issue number	10
DOIs	https://doi.org/10.1080/10236198.2017.1354991
Publication status	Published - 3 Oct 2017

Keywords

Discrete nonlinear boundary value problem
critical point theory
non trivial solution
variational methods

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10.1080/10236198.2017.1354991

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title = "Existence results to a nonlinear p(k)-Laplacian difference equation",

abstract = "In the present paper, by using variational method, the existence of non-trivial solutions to an anisotropic discrete non-linear problem involving p(k)-Laplacian operator with Dirichlet boundary condition is investigated. The main technical tools applied here are the two local minimum theorems for differentiable functionals given by Bonanno.",

keywords = "Discrete nonlinear boundary value problem, critical point theory, non trivial solution, variational methods",

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year = "2017",

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T1 - Existence results to a nonlinear p(k)-Laplacian difference equation

AU - Khaleghi Moghadam, Mohsen

AU - Avci, Mustafa

PY - 2017/10/3

Y1 - 2017/10/3

N2 - In the present paper, by using variational method, the existence of non-trivial solutions to an anisotropic discrete non-linear problem involving p(k)-Laplacian operator with Dirichlet boundary condition is investigated. The main technical tools applied here are the two local minimum theorems for differentiable functionals given by Bonanno.

AB - In the present paper, by using variational method, the existence of non-trivial solutions to an anisotropic discrete non-linear problem involving p(k)-Laplacian operator with Dirichlet boundary condition is investigated. The main technical tools applied here are the two local minimum theorems for differentiable functionals given by Bonanno.

KW - Discrete nonlinear boundary value problem

KW - critical point theory

KW - non trivial solution

KW - variational methods

UR - https://www.scopus.com/pages/publications/85025840899

U2 - 10.1080/10236198.2017.1354991

DO - 10.1080/10236198.2017.1354991

M3 - Journal Article

AN - SCOPUS:85025840899

SN - 1023-6198

VL - 23

SP - 1652

EP - 1669

JO - Journal of Difference Equations and Applications

JF - Journal of Difference Equations and Applications

IS - 10

ER -

Existence results to a nonlinear p(k)-Laplacian difference equation

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Keywords

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