Multiplicity of heteroclinic solutions for the discrete p(k)-Laplace Kirchhoff type equations with a parameter

Stanislas OUARO; Moussa BRAHIM; Ismael NYANQUINI

doi:10.56947/amcs.v21.265

Authors

Stanislas OUARO Laboratoire de Mathématiques et Informatique, Université Nazi BONI, Burkina Faso
Moussa BRAHIM Laboratoire de Mathématiques et Informatique, Université Nazi BONI, Burkina Faso
Ismael NYANQUINI Laboratoire de Mathématiques et Informatique, Université Nazi BONI, Burkina Faso

DOI:

https://doi.org/10.56947/amcs.v21.265

Keywords:

Kirchhoff type equation, heteroclinic solutions, nontrivial solution, variational methods, critical point theory

Abstract

In this paper, we prove the existence of at least one and of at least two nontrivial heteroclinic solutions for the discrete p(k)-Laplace Kirchhoff type equations depending on a parameter. The proof of our main result is based on a local minimum theorem for differentiable functionals due to Ricceri and on the mountain pass theorem of P. Pucci and J. Serrin.