(1) Laboratoire d Analyse Numérique, CNRS-Université Pierre et Marie Curie 4 place Jussieu, F-75252 Paris, France
Abstract:
Generalizing previous results of M. Comte and P. Mironescu, itis shown that for degree d large enough (such that ), thereis a bifurcation branch in the set of the solutions of the Ginzburg-Landauequation, emanating from the branch of radial solutions at the critical valued of the parameter. Moreover, the solutions on the bifurcation branch admitexactly d zeroes, and the energy on the bifurcation branch is strictly smallerthan the energy on the radial branch.
!["rsquo"]("/content/yj2gghl768mvvdjq/xlarge8217.gif")
Analyse Numérique, CNRS-Université Pierre et Marie Curie 4 place Jussieu, F-75252 Paris, France
), thereis a bifurcation branch in the set of the solutions of the Ginzburg-Landauequation, emanating from the branch of radial solutions at the critical value
d of the parameter. Moreover, the solutions on the bifurcation branch admitexactly d zeroes, and the energy on the bifurcation branch is strictly smallerthan the energy on the radial branch.