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MULTIPLICITY OF HETEROCLINIC SOLUTIONS FOR THE DISCRETE p(k)-LAPLACE KIRCHHOFF TYPE EQUATIONS WITH A PARAMETER

  • Annals of Mathematics and Computer Science : 1-24
Discipline : Mathématiques
Auteur(s) :
Auteur(s) tagués : OUARO Stanislas
Renseignée par : OUARO Stanislas

Résumé

In this paper, we prove the existence of at least one and 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

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