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Discrete Potential Boundary-Value Problems of Kirchhoff Type

  • Springer : 115-137
Discipline : Mathématiques
Auteur(s) :
Auteur(s) tagués : OUARO Stanislas
Renseignée par : OUARO Stanislas

Résumé

In this chapter, we prove the existence of solutions for some discrete nonlinear difference equations of Kirchhoff type subjected to a potential boundary- value condition. We make use of a variational technique that relies on Szulkin’s critical point theory, which ensures the existence of solutions by ground state and mountain pass methods.

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