| In this paper,we study the asymptotic estimates of the positive integrable solu-tions of an integral system involving the Wolff potentials in Rn Here1<γ≤2,β>0and βγ<n.In addition,p,q>1satisfy the critical condition P+γ-1/γ-1+P+γ-1/γ-1=n/n-βγ,and R1(x),R2(x)are double bounded in Rn.For the radial solutions,the decay rates were established recently when|x|→∞.When the solutions have no radial structure,the asymptotic behavior is more complicated.We use a new iteration technique to estimate the decay rates of the integrable solutions u and v as|x|→∞.Furthermore,as the corollaries of this result,we also obtain the asymptotic estimates of other Lane-Emden type PDE systems and integral systems, including the γ-Laplace system,the higher-order PDE system,and the integral system involving the Riesz potentials. |
