Ginzburg-Landau minimizers in perforated domains with prescribed degrees

Leonid Berlyand (1) , Petru Mironescu (2)

1 Department of Mathematics
2 EDPA - Équations aux dérivées partielles, analyse

This is a long and unpublished version of the paper "Ginzburg-Landau minimizers with prescribed degrees. Capacity of the domain and emergence of vortices" (J. Funct. Anal. 2006). It contains detailed profs of some facts mentioned in that paper, and many additional results.

Mots clés: degree; Ginzburg-Landau; vortices; bubbling

Domaines: Equations aux dérivées partielles [math.AP]

Leonid Berlyand, Petru Mironescu. Ginzburg-Landau minimizers in perforated domains with prescribed degrees. 2008. ⟨hal-00747687⟩