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Infinitely many solutions for a class of stationary Schrödinger equations with non-standard growth

In this paper, we study the existence of infinitely many solutions for a class of stationary Schrödinger type equations in involving the p(x)-Laplacian. The non-linearity is superlinear but does not… Click to show full abstract

In this paper, we study the existence of infinitely many solutions for a class of stationary Schrödinger type equations in 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.

Keywords: class stationary; solutions class; many solutions; stationary schr; infinitely many; schr dinger

Journal Title: Complex Variables and Elliptic Equations
Year Published: 2018

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