Existence Of Positive Solutions For A Semilinear Elliptic Equation Systems Involving Critical Sobolev Exponent

In this paper,we will use classical variational method to investigate the ex-istence of positive solutions for the following semilinear elliptic equation systems,which is involved with critical Sobolev exponent and has the type(?)where ? is a bounded domain in RN(N?4),K(x),Q(x),H(x)are positive continuous functions on ?,1<?,?<2*-1 and ?+??2*,2*= 2N/N-2 is the Sobolev critical exponent.We proved that the equation systems exists positive solution when K(x),Q(x)y H(x)and ?,? satisfied some conditions.