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\title[Positive solutions for discrete anisotropic equations]{\large Positive solutions for discrete \\ anisotropic equations}



\author[A. Ayoujil]{ABDESSLEM AYOUJIL}

\author[M. Berrajaa]{MOHAMMED BERRAJAA}
\author[B. Ouhamou]{BRAHIM OUHAMOU}

\begin{abstract}
Using variational method, we study the existence of positive solutions for an anisotropic discrete
Dirichlet problem with some functions $\alpha$,$\beta$ and  a nonlinear term $f$.
\end{abstract}



\begin{amssubject}
35B38, 47A75, 35P30, 34L05, 34L30.
\end{amssubject}



\begin{keyword}
Discrete nonlinear boundary value problem, variational method, Ekeland's variational principle, mountain pass theorem, positive solution.
\end{keyword}



%\thanks{The authors thank the referee for his helpful comments and suggestions.}



\maketitle

\let\thefootnote\relax\footnote{ \ }\hspace{-5mm}\let\thefootnote\relax\footnote{\hspace{-13pt}DOI: 10.24193/mathcluj.2020.2.01}




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\end{thebibliography}



\vspace{10pt}



\hspace{-4mm}{\small{Received April 27, 2019}}\\
\hspace{-4mm}{\small{Accepted October 16, 2019}}



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\vspace{-25.3pt}
\ \hfill
\begin{tabular}{c}
{\small\em Regional Centre of Trades Education and Training}\\
{\small\em Department of Mathematics}\\
{\small\em  Oujda, Morocco}\\
{\small\em E-mail: {\tt abayoujil@gmail.com}} \\ \\
{\small\em University Mohamed I, Faculty of sciences}\\
{\small\em Department of Mathematics}\\
{\small\em  Oujda, Morocco}\\
{\small\em E-mail: {\tt berrajaamo@yahoo.fr}} \\
{\small\em E-mail: {\tt ouhamoubrahim@gmail.com}}
\end{tabular}



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