AyazoClu, RabilAkbulut, SezginAkkoyunlu, Ebubekir2024-10-042024-10-0420221300-00981303-6149https://doi.org/10.55730/1300-0098.3164https://search.trdizin.gov.tr/tr/yayin/detay/535398http://hdl.handle.net/20.500.12403/3298This paper is concerned with the existence and multiplicity of solutions of a Dirichlet problem for p(.)- Kirchhoff-type equation {M(integral(Omega)vertical bar del vertical bar p(x)/p(x)dx) (-Delta(p(x))u) = f(x,u), in Omega, u = 0, on partial derivative Omega Using the mountain pass theorem, fountain theorem, dual fountain theorem and the theory of the variable exponent Sobolev spaces, under appropriate assumptions on f and M, we obtain results on existence and multiplicity of solutions.eninfo:eu-repo/semantics/openAccessLebesgue and Sobolev spaces with variable exponentp(.)-LaplacianKirchhoff-type equationmountain pass theoremfountain theoremdual fountain theoremArticle4641342135910.55730/1300-0098.31642-s2.0-85131410669Q2535398WOS:000787536700001Q2