Weak homoclinic solutions of anisotropic difference equation with variable exponents.

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Résumé

In this paper, we prove the existence of homoclinic solutions for a family of anisotropic difference equations. The proof of the main result is based on a minimization method and a discrete Hölder type inequality

Mots-clés

difference equations; homoclinic solutions; discrete Hölder-type inequality; minimization method