In this paper we analyze the existence of entire radially symmetric solutions for the Schrodinger system Delta(pi) u(i) + h(i) (r) vertical bar del u(i)vertical bar(pi -> 1) = a(i) (r) f(i) (u(1),..., u(d)) for i = 1,..., d on R-N, where p(i) > 1, d is an element of {1, 2, 3,...}, h(i) and a(i) are nonnegative radial continuous functions and f(i) are nonnegative non-decreasing continuous functions on [0, infinity)(d) in all variables. (C) 2013 Elsevier Ltd. All rights reserved.