Existence and symmetry of positive solutions of an integral equation system

In this paper, we investigate positive solutions of the following integral equation system in RnRn: {u(x)=∫Rn∣x−y∣α−nv(y)pdy,v(x)=∫Rn∣x−y∣β−nu(y)qdy, where p,q>1,0<α,β1,0<α,β