Brahim Moussa, Ismael Nyanquini and Stanislas Ouaro
Multiple Solutions of a Discrete Nonlinear Boundary Value Problem Involving p(k)-Laplace Kirchhoff Type Operator
Dynamic Systems and Applications 32 (2023) 231-254

https://doi.org/10.46719/dsa2023.32.13

ABSTRACT.
In this article, we prove the existence of at least one or two nontrivial solutions of
a discrete nonlinear boundary value problem of p(k)-Laplace Kirchhoff type in a finite dimensional
Banach space. Our approach is based on variational methods and on critical point theory.

AMS (MOS) Subject Classification. 34L10, 34B24, 47E05.

Key Words and Phrases. Kirchhoff type equation, discrete nonlinear boundary value problem,
multiple solutions, variational methods, critical point theory.