Abstract
In this paper, we study the following fractional Schrödinger equation involving critical or supercritical exponent where 0<s<1, N>2s, , , , denotes the fractional Laplacian of order s and f is a continuous superlinear but subcritical nonlinearity. When V and f are asymptotically periodic in x, we prove that the equation has a ground state solution for small by the Nehari method. Our main contribution is that we are able to deal with the supercritical case .
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