Weak solutions to discrete nonlinear two-point boundary-value problems of Kirchhoff type

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Résumé

The authors prove the existence of weak solutions to a family of discrete boundary-value problems whose right-hand side belongs to a discrete Hilbert space. As an extension, the authors prove the existence of weak solutions for problems whose right-hand side depends on the solution

Mots-clés

Kirchhoff type problems; discrete boundary-value problem; critical point; weak solution; electrorheological fluids