Ayazoglu Mashiyev R.Ekincioglu I.Alisoy G.20.04.20192019-04-2020.04.20192019-04-2020171417-3875https://dx.doi.org/10.14232/ejqtde.2017.1.75https://hdl.handle.net/20.500.12403/564In this paper, we deal with the following p(x)-Schrödinger problem: (Formula Presented) where the nonlinearity is sublinear. We present the existence of infinitely many solutions for the problem. The main tool used here is a variational method and Krasnoselskii’s genus theory combined with the theory of variable exponent Sobolev spaces. We also establish a Bartsch-Wang type compact embedding theorem for the variable exponent spaces. © 2017, University of Szeged. All rights reserved.eninfo:eu-repo/semantics/openAccessKrasnoselskii’s genusP(x)-laplace operatorSchrödinger equationVariable exponent lebesgue-sobolev spacesKrasnoselskii’s genusP(x)-laplace operatorSchrödinger equationVariable exponent lebesgue-sobolev spacesArticle201710.14232/ejqtde.2017.1.752-s2.0-85034248466Q3WOS:000415654200001Q2