May  2009, 8(3): 977-998. doi: 10.3934/cpaa.2009.8.977

Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint. II

1. 

Université de Monastir, Institut supérieur d'informatique de Mahdia, Km 4, Réjiche, 5121 Mahdia, Tunisia

2. 

Université Paris-Sud, Département de mathématique, Bât. 425, 91405 Orsay, France

Received  June 2008 Revised  August 2008 Published  February 2009

We study vortex nucleation for minimizers of a Ginzburg-Landau energy with discontinuous constraint. For applied magnetic fields comparable with the first critical field of vortex nucleation, we determine the limiting vorticities.
Citation: Hassen Aydi, Ayman Kachmar. Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint. II. Communications on Pure & Applied Analysis, 2009, 8 (3) : 977-998. doi: 10.3934/cpaa.2009.8.977
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