Ginzburg-Landau minimizers near the first critical field have bounded vorticity

We prove that for fields close enough to the first critical field, minimizers of the Ginzburg-Landau functional have a number of vortices bounded independently from the Ginzburg-Landau parameter. This generalizes a result proved in [SS1] and shows that locally minimizing solutions of the Ginzburg-La...

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Veröffentlicht in:	Calculus of variations and partial differential equations 2003-05, Vol.17 (1), p.17-28
Hauptverfasser:	Sandier, E., Serfaty, S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary layer Mathematics Parameter estimation
Online-Zugang:	Volltext
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