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Familles de branches de bifurcations dans les équations de Ginzburg- Landau. (Families of bifurcation branches in the Ginzburg-Landau equations). (French) Zbl 0726.34031
The main result of the paper is the proof that there exist an infinite number of nontrivial solution curves of Ginzburg-Landau equations. More precisely for every trivial solution satisfying a certain integral relation (condition of bifurcation) we have a family of solutions. Physically only the stable or metastable solutions are admissible and this imposes certain constraints on the strength of the external magnetic field.