A discrete problem involving the $p(k)-$ Laplacian operator with three variable exponents

Document Type : Research Paper


Oriental applied mathematics laboratory‎, ‎FS Oujda‎, ‎Team of Modeling and Scientific Computing‎, ‎FP Nador‎, ‎University Mohammed 1‎, ‎Morocco‎.


‎In this paper‎, ‎we determine the different intervals of a positive parameters $\lambda$‎, ‎for which we prove the existence and non existence of a non trivial solutions for the discrete problem (1.1)‎. ‎Our technical approach is based on the variational principle and the critical point theory‎.