@ARTICLE{10.21494/ISTE.OP.2023.0999, TITLE={Existence and multiplicity of solutions for α(x)-Kirchhoff Equation with indefinite weights}, AUTHOR={Khaled Ben Ali, Khaled Kefi, Haikel Ouerghi, }, JOURNAL={Advances in Pure and Applied Mathematics}, VOLUME={14}, NUMBER={Issue 4 (September 2023)}, YEAR={2023}, URL={https://openscience.fr/Existence-and-multiplicity-of-solutions-for-%CE%B1-x-Kirchhoff-Equation-with}, 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.}}