On existence and concentration behavior of positive ground state solutions for a class of fractional Schrodinger-Choquard equations

In this paper, we first employ variational methods to show the existence of positive ground state solutions for fractional Schrodinger-Choquard equations where potential V (x) is an element of C(R-N) is nonnegative and bounded away from 0 as vertical bar x vertical bar -> infinity, I-alpha is the Riesz potential of order alpha is an element of (0, N) and epsilon > 0 is a parameter small enough. When V (x) is an element of C(R-N) achieves 0 with a homogeneous behavior, we then investigate the concentration behavior of positive ground state solutions as epsilon -> 0(+).