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

In this work, we are interested in solutions View the MathML source, N ≥ 3, to Ginzburg-Landau system −Δω = ω(1 − |ω|2), having the form View the MathML source. By using a shootin 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 ug which approaches 1 as |x| → +∞.