Yücedağ, Zehra2025-03-082025-03-0820192618-6136https://doi.org/10.23884/mejs.2019.5.2.06https://hdl.handle.net/11468/31766In this article, we study the nonlinear Steklov boundary value problem. The existence of a nontrivial weak solution is obtained on variable exponent Sobolev spaces, by means of the Mountain Pass theorem.eninfo:eu-repo/semantics/openAccessvariational methodsp(x)-Laplace operatorSteklov boundary valueArticle5214615410.23884/mejs.2019.5.2.06