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A Ginzburg–Landau problem with weight having minima on the boundary

Published online by Cambridge University Press:  14 November 2011

Anne Beaulieu  and
Rejeb Hadiji
Anne Beaulieu
Affiliation:
Equipe d'Analyse et de Mathematiques Appliquees, Université de Marne-la-Vallée, Cité Descartes-5, bd Descartes, Champs-sur-Marne, 77454 Marne-la-Vallée Cedex 2, France
Rejeb Hadiji
Affiliation:
CMLA, ENS de Cachan, 61, avenue du Président Wilson, 94235 Cachan Cedex, France; andUniversité de Picardie, 33, rue Saint-Leu, 80039 Amiens Cedex 01, France
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Extract

In this paper, we study the following Ginzburg–Landau functional:

where (G, C), and p is a smooth bounded and non-negative map, having minima on the boundary of Ḡ. We give the location of the singularities in the case where the degree around each singularity is equal to 1.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 128 , Issue 6 , 1998 , pp. 1181 - 1215
Copyright
Copyright © Royal Society of Edinburgh 1998

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