Yücedağ, ZehraMurad, Vahup2023-07-312023-07-312022Yücedağ, Z. ve Murad, V. (2022). Solution for Steklov boundary value problem involving the p(x)- Laplacian operator. Middle East Journal of Science, 8(2), 112-121.2618-6136https://search.trdizin.gov.tr/tr/yayin/detay/1147725https://hdl.handle.net/11468/12335https://search.trdizin.gov.tr/yayin/detay/1147725In this paper, we are concerned with Steklov boundary value problem involving - Laplacian operator. By means of the Mountain Pass theorem together with Ambrosetti- Rabinowitz condition, we prove the existence of a nontrivial weak solution in Sobolev spaces with variable exponent under appropriate conditions .eninfo:eu-repo/semantics/openAccessVariable exponent Lebesgue-Sobolev spacesVariational methodsAmbrosetti- Rabinowitz conditionSolution for Steklov boundary value problem involving the p(x)- Laplacian operatorSolution for Steklov boundary value problem involving the p(x)- Laplacian operatorArticle82112121114772510.51477/mejs.1062646