... the existence of weak solutions using variational methods and analyze their regularity. Additionally, we refine the Diaz–Saa inequality to derive a uniqueness result in the case r = q. Our study extends existing results in the field of fractional and nonlocal operators, providing new insights...

...Abdelrachid El Amrouss; Omar Hammouti Purpose The purpose of this paper is the study of existence and multiplicity of solutions for a nonlinear discrete boundary value problems involving the p-laplacian. Design/methodology/approach The approach is based on variational methods...