On bifurcations from normal solutions for superconducting states
| dc.creator | Helffer, Bernard | |
| dc.creator | Dutour, Mathieu | |
| dc.date | 2000-02-10 | |
| dc.date.accessioned | 2026-07-07T04:27:41Z | |
| dc.date.available | 2026-07-07T04:27:41Z | |
| dc.description | Motivated by the paper by J. Berger and K. Rubinstein \cite{BeRu} and other recent studies \cite{GiPh}, \cite{LuPa1}, \cite{LuPa2}, we analyze the Ginzburg-Landau functional in an open bounded set $Ω$. We mainly discuss the bifurcation problem whose analysis was initiated in \cite{Od} and show how some of the techniques developed by the first author in the case of Abrikosov's superconductors \cite{Du} can be applied in this context. In the case of non simply connected domains, we come back to \cite{BeRu} and \cite{HHOO}, \cite{HHOO1} for giving the analysis of the structure of the nodal sets for the bifurcating solutions. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/math-ph/0002033 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0002033 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56504 | |
| dc.subject | Mathematical Physics | |
| dc.title | On bifurcations from normal solutions for superconducting states | |
| dc.type | text |