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Weak solutions for discrete Kirchhoff type equations with Dirichlet boundary conditions

  • DISCUSS. MATH. DIFFER. INCL. CONTROL OPTIM : 23-47
Discipline : Mathématiques
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Auteur(s) tagués : OUARO Stanislas
Renseignée par : OUARO Stanislas

Résumé

This paper is concerned with the existence and multiplicity of weak so- lutions for discrete Kirchhoff type equations with Dirichlet boundary con- ditions. We first establish the existence of a nontrivial weak solution and three weak solutions, by using variational methods, mainly based on the mountain pass theorem of A. Ambrosetti and P.H. Rabinowitz and critical point theory

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