@ARTICLE{10.21494/ISTE.OP.2023.0999, TITLE={Existence et multiplicité de solution pour l’équation α(x)-Kirchhoff à poids indéfinis}, AUTHOR={Khaled Ben Ali, Khaled Kefi, Haikel Ouerghi, }, JOURNAL={Avancées en Mathématiques Pures et Appliquées}, VOLUME={14}, NUMBER={Numéro 4 (Septembre 2023)}, YEAR={2023}, URL={https://www.openscience.fr/Existence-et-multiplicite-de-solution-pour-l-equation-%CE%B1-x-Kirchhoff-a-poids}, DOI={10.21494/ISTE.OP.2023.0999}, ISSN={1869-6090}, ABSTRACT={In this paper, we investigate the existence of at least three weak solutions for a class of nonlocal elliptic equations with Navier boundary value conditions. The proof of our result uses the basic theory and critical point theory of variable exponential Lebesgue Sobolev spaces. Moreover a generalization of Corollary 1.1 in [21] is obtained.}}