Entire nonradial solutions for non-cooperative coupled elliptic system with critical exponents in R3

We consider the following coupled elliptic system: {-Delta u = mu(1)u(N+2/N-2) + beta(u)2/N-2 (v) N/N-2 in R-N, -Delta u = mu(2)u(N+2/N-2) + beta(u)2/N-2 (u) N/N-2 in R-N, u, v > 0, u, v is an element of D-1,D-2(R-N), where N >= 3, mu(1), mu(2) are two positive constants and beta < 0 is the coupling constant. When N = 3 we prove the existence of infinitely many positive nonradial solutions. (C) 2014 Elsevier Inc. All rights reserved.