Title of article :
A discrete problem involving the p(k)− Laplacian operator with three variable exponents
Author/Authors :
Ousbika, Mohamed Oriental applied mathematics laboratory, FS Oujda - Team of Modeling and Scientific Computing, FP Nador - University Mohammed , Morocco , El Allalia, Zakaria Oriental applied mathematics laboratory, FS Oujda - Team of Modeling and Scientific Computing, FP Nador - University Mohammed , Morocco
Abstract :
In this paper, we determine the different intervals of a positive parameters λ, 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 :
Discrete boundary value problem , Anisotropic problem , Critical point theory , Eigenvalue
Journal title :
International Journal of Nonlinear Analysis and Applications
