Integrability of Positive Solutions of the Integral System Involving the Riesz Potentials

In this paper, we are concerned with the following integral system ui(x) =∫ℝnui+1pi+1(y) |x − y|n−α dy,i = 1, 2,…,m − 1, um(x) =∫ℝn u1p1(y) |x − y|n−αdy, m ≥ 1,n ≥ 1, where ui > 0, 0 < α < n, and p...