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Multiplicity result for some nonlocal anisotropic equation via nonsmooth critical point theory approach
Authors:Sami Aouaoui
Affiliation:Département de mathématiques, Faculté des sciences de Monastir, Rue de l’environnement, 5019 Monastir, Tunisia
Abstract:In this paper we study quasilinear problems involving variable exponent growth conditions and nonlocal terms on the whole space RN. A multiplicity result is established. All the coefficients involved in the terms of the equation depend both on the variable x and the unknown function u. Our main argument is nonsmooth critical point theory.
Keywords:Nonlocal terms   Variable exponent growth conditions   Nonsmooth critical point theory
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