Qualitative study of radial solutions of the Ginzburg-Landau system in RN(N ≥ 3)

In this work, we are interested in solutions w :R-N --> R-N, N greater than or equal to 3, to Ginzburg-Landau system -Delta w = w(1 - /w/(2)), having the form w(x) = u(/x/)g(x//x/) BY using a shooting argument, we prove the existence of three families of profiles u and investigate its properties. In particular, we shall show that, for any admissible function g, there exists a unique positive solution u(g) which approaches 1 as /x/ --> +infinity. (C) 2000 Elsevier Science Ltd. All rights reserved.