The Existence Of Positive Solution For Elliptic Systems With Sobolev Critical Growth

In this paper,we study the following elliptic problem with Sobolev critical ex-ponentwhere （？）0<p,q<1,α+β=2~*:= 2N/（N-2）,α>1,β>1,N ≥ 3 and K(x),Q(x),h(x),l(x)are real functions on R~N.We apply the perturbation method and reduction method to prove the existence of positive solution about this equation.