Segregated Vector Solutions for the Nonlinear Schrodinger Systems in R3

This paper is concerned with the following nonlinear Schrodinger system in R-3 {-Delta u + P(|y|)u = mu(1)u(3) + beta p/p + q |v|(q)|u|(p-2) u, y is an element of R-3, -Delta v + Q(|y|)v = mu 2v(3) + beta q/p + q |u|(p)|v|(q-2)v, y epsilon R-3, where mu(1) > 0, mu(2) > 0, 2 <= p, q <= 5, p + q <= 6 and beta is an element of R is a coupling constant. We show that the nonlinear Schrodinger system has infinitely many non-radial positive segregated solutions.