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Öğe Multiple small solutions for p(x)-Schrödinger equations with local sublinear nonlinearities via genus theory(University of Szeged, 2017) Ayazoglu Mashiyev R.; Ekincioglu I.; Alisoy G.In 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.Öğe Positive periodic solutions of nonlinear differential equations system with nonstandard growth(Elsevier Ltd, 2015) Ayazoglu Mashiyev R.; Avci M.In this work, we study the existence of positive periodic solutions for a p(t)-Laplacian system. © 2014 Elsevier Ltd.