Integrability and Symmetry of Positive Integrable Solutions for Weighted Wolff-Type Integral Systems

In this paper, we are concerned with the following weighted integral system involving Wolff potential: 1.1 {[ u(x)=R_1(x)W_β ,γ( v^q/|y|^σ) (x), u(x)>0, x∈ℝ^N,; v(x)=R_2(x)W_β ,γ( u^p/|y|^σ) (x), v(x)>0, x∈ℝ^N, ]. where γ >2 , β >0 , 0<σ<βγ γ -1 , with γ -1/p+γ -1 , γ -1/q+γ -1