Classification of nonnegative solutions to fractional Schrödinger-Hatree-Maxwell type system

In this paper, we are concerned with the fractional Schrodinger-Hatree-Maxwell type system. We derive the forms of the nonnegative solution and classify nonlinearities by appling a variant (for nonlocal nonlinearity) of the direct moving spheres method for fractional Laplacians. The main ingredients are the variants (for nonlocal nonlinearity) of the maximum principles, i.e., narrow region principle (Theorem 2.3).