Research Communication | Open Access
Volume 2021 | Communication ID 190
Multiplicity of solutions for discrete boundary value problems for the p-Laplacian via variational methods
Omar Hammouti, Abdel Rachid El Amrouss
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 31, 2021
February 15, 2021
March 15, 2021

Abstract: Sufficient conditions are given for the existence of multiple solutions to a discrete boundary value problems for the p-Laplacian consisting of the equation: -Δ(h(t-1)φ_p (Δu(t-1)))+r(t) φ_p (u(t))=f(t,u(t)), t∈[1;N]Z, and the boundary condition (BC) : u(0)=u(N+1)=0. Where 1