Ayazoğlu, R.Saraç, Y.Şener, S.Ş.Alisoy, Gülizar2022-05-112022-05-1120210010-0757https://doi.org/10.1007/s13348-020-00283-5https://hdl.handle.net/20.500.11776/4726In this paper, by using variational approach, Mountain Pass Theorem and Krasnoselskii’s genus theory, we show the existence and multiplicity of solutions for a Schrödinger–Kirchhoff type equation involving the fractional p(. ,.) -Laplacian in fractional Sobolev space with variable exponent. We also establish a Bartsch–Wang type compact embedding theorem for fractional Sobolev space with variable exponent. © 2020, Universitat de Barcelona.en10.1007/s13348-020-00283-5info:eu-repo/semantics/closedAccessFractional p(.,.)-Laplacian operatorFractional Sobolev space with variable exponentKrasnoselskii’s genusMountain pass theoremSchrödinger–Kirchhoff type equationsArticle721129156Q3WOS:0005169367000012-s2.0-85080862949Q1