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 On a discrete elliptic problem with a weight Zakaria El Allali,Mohamed Ousbika,Lingju Kong Keywords:Discrete boundary value problems, critical point theory, algebraic systems difference equations. Abstract: Using the variational approach and the critical point theory, we established several criteria for the existence of at least one nontrivial solution for a discrete elliptic boundary value problem with a weight $p(\cdot, \cdot)$ and depending on a real parameter $\lambda$.