Existence and multiplicity of solutions for a Dirichlet problem involving the discrete p(x)-Laplacian operator

In the present paper, using the three critical points theorem and variational method, we study the existence and multiplicity of solutions for a Dirichlet problem involving the discrete p(x)-Laplacian operator.

Bibliographic Details
Main Authors: Rabil Ayazoglu (Mashiyev), Zehra Yucedag, S. Ogras
Format: Article
Language:English
Published: University of Szeged 2011-08-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=714
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author Rabil Ayazoglu (Mashiyev)
Zehra Yucedag
S. Ogras
author_facet Rabil Ayazoglu (Mashiyev)
Zehra Yucedag
S. Ogras
author_sort Rabil Ayazoglu (Mashiyev)
collection DOAJ
description In the present paper, using the three critical points theorem and variational method, we study the existence and multiplicity of solutions for a Dirichlet problem involving the discrete p(x)-Laplacian operator.
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spelling doaj.art-51b6bb95476941a8b33cd59b1210efd72023-05-09T07:53:01ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752011-08-0120116711010.14232/ejqtde.2011.1.67714Existence and multiplicity of solutions for a Dirichlet problem involving the discrete p(x)-Laplacian operatorRabil Ayazoglu (Mashiyev)0Zehra Yucedag1S. Ogras2Dicle University, Diyarbakir, TurkeyDicle University, Diyarbakir, TurkeyDicle University, Diyarbakir, Turkey)In the present paper, using the three critical points theorem and variational method, we study the existence and multiplicity of solutions for a Dirichlet problem involving the discrete p(x)-Laplacian operator.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=714discrete boundary value problemcritical point theorydiscrete p(x)-laplacian
spellingShingle Rabil Ayazoglu (Mashiyev)
Zehra Yucedag
S. Ogras
Existence and multiplicity of solutions for a Dirichlet problem involving the discrete p(x)-Laplacian operator
Electronic Journal of Qualitative Theory of Differential Equations
discrete boundary value problem
critical point theory
discrete p(x)-laplacian
title Existence and multiplicity of solutions for a Dirichlet problem involving the discrete p(x)-Laplacian operator
title_full Existence and multiplicity of solutions for a Dirichlet problem involving the discrete p(x)-Laplacian operator
title_fullStr Existence and multiplicity of solutions for a Dirichlet problem involving the discrete p(x)-Laplacian operator
title_full_unstemmed Existence and multiplicity of solutions for a Dirichlet problem involving the discrete p(x)-Laplacian operator
title_short Existence and multiplicity of solutions for a Dirichlet problem involving the discrete p(x)-Laplacian operator
title_sort existence and multiplicity of solutions for a dirichlet problem involving the discrete p x laplacian operator
topic discrete boundary value problem
critical point theory
discrete p(x)-laplacian
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=714
work_keys_str_mv AT rabilayazoglumashiyev existenceandmultiplicityofsolutionsforadirichletprobleminvolvingthediscretepxlaplacianoperator
AT zehrayucedag existenceandmultiplicityofsolutionsforadirichletprobleminvolvingthediscretepxlaplacianoperator
AT sogras existenceandmultiplicityofsolutionsforadirichletprobleminvolvingthediscretepxlaplacianoperator