On bifurcations from normal solutions for superconducting states
Bernard Helffer, Mathieu Dutour
Abstract
Motivated by the paper by J. Berger and K. Rubinstein BeRu and other recent studies GiPh, LuPa1, LuPa2, we analyze the Ginzburg-Landau functional in an open bounded set Ω. We mainly discuss the bifurcation problem whose analysis was initiated in Od and show how some of the techniques developed by the first author in the case of Abrikosov's superconductors Du can be applied in this context. In the case of non simply connected domains, we come back to BeRu and HHOO, HHOO1 for giving the analysis of the structure of the nodal sets for the bifurcating solutions.
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