Asymptotic behavior of ground state solution for Henon type systems

In this article, we investigate the asymptotic behavior of positive ground state solutions, as $alphaoinfty$, for the following Henon type system $$ -Delta u=frac{2p}{p+q}|x|^alpha u^{p-1}v^q,quad -Delta v=frac{2q}{p+q}|x|^alpha u^pv^{q-1},quad hbox{in } B_1(0) $$ with zero boundary condition, where $B_1(0)subsetmathbb{R}^N$ ($Ngeq3$) is the unit ball centered at the origin, $p,q>1$, $p+q