Ground States for Fractional Schrödinger Equations with Electromagnetic Fields and Critical Growth

In this article, we study the following fractional Schrödinger equation with electromagnetic fields and critical growth ( - Δ )_A^su + V(x)u = |u|^2_s^* - 2u + λ f(x,|u|^2)u, x ∈ℝ^N, where (−Δ) A is the fractional magnetic operator with 0 < s < 1,N > 2s,λ > 0,2_s^* = 2NN - 2s , f is a continuous function, V ∈ C (ℝ N , ℝ) and A ∈ C (ℝ N ,ℝ N ) are the electric and magnetic potentials, respectively. When V and f are asymptotically periodic in x , we prove that the equation has a ground state solution for large ⋋ by Nehari method.