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Infinitely many solutions for a class of stationary Schrödinger equations with non-standard growth
(Taylor and Francis Ltd., 2018) Ayazoglu (Mashiyev) R.; Alisoy G.
In this paper, we study the existence of infinitely many solutions for a class of stationary Schrödinger type equations in ?N involving the p(x)-Laplacian. The non-linearity is superlinear but does not satisfy the Ambrosetti-Rabinowitz type condition. The main arguments are based on the geometry supplied by Fountain Theorem. We also establish a Bartsch type compact embedding theorem for variable exponent spaces. © 2017 Informa UK Limited, trading as Taylor & Francis Group.