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This paper is concerned with the following sublinear fractional Schrödinger equation:where,  N &gt;2 s ,is the fractional Laplacian operator, and  V ,  a  both change sign in,is a nonnegative perturbation such that. By using the  s -harmonic extension technique and suitable variational methods, we prove the existence of at least two nontrivial solutions for the problem.

Existence of solutions for a nonhomogeneous sublinear fractional Schrödinger equation