This paper is concerned with the existence of segregated vector solutions for [GRAPHICS] where Omega is a bounded or unbounded domain in R-N with N = 1, 2, 3, epsilon > 0 is a small parameter, n > 1 is an integer, P-i (i=1,...,n) is a potential function, beta(i) > 0 (i = 1,..., n) is constant and beta(ij) =beta(ji) > 0 (j not equal i) is coupling constant. This system describes some physical phenomena such as the propagation in birefringent optical fibers, Kerr-like photorefractive in optics and Bose-Einstein condensates. For beta(ij) > 0, which corresponds to the synchronization case for the ...
