Multiplicity results for nonlocal critical problems involving Hardy potential in the whole space

The aim of this paper is to study a nonlocal elliptic problem in RN (denoted as (P?) below) involving the fractional Laplacian, linear Hardy potential term and critical nonlinear term. According suitable assumptions on set extremal points functional coefficients, we prove that has multiple positive solutions, determine their precise behavior near points. This work extends previous article by first author et al. local case.