International Journal of Nonlinear Analysis and Applications

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

Document Type : Research Paper

Authors

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

Abstract

‎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.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 12, Issue 1
May 2021
Pages 521-532
  • Receive Date: 30 June 2020
  • Revise Date: 06 February 2021
  • Accept Date: 22 August 2020