Yucedag, Zehra2024-04-242024-04-2420221787-24051787-2413https://doi.org/10.18514/MMN.2022.4078https://hdl.handle.net/11468/18732In the present article deal with the existence and multiplicity of solutions to a class of p(x)-Kirchhoff type problem with Steklov boundary-value. By variational approach and the-ory of the variable exponent Sobolev spaces, under appropriate assumptions on f, we obtain existence of infinitely solutions and at least one nontrivial weak solution.eninfo:eu-repo/semantics/openAccessSteklov Boundary ValueVariational MethodVariable ExponentsP(X)-Kirchhoff-Type EquationFountain TheoremMountain Pass TheoremWeak SolutionsExistenceArticle232987999WOS:0008853683000322-s2.0-8514379696610.18514/MMN.2022.4078Q2Q2