ON THE GINZBURG-LANDAU ENERGY WITH WEIGHT

Authors
LEFTER C RADULESCU VD
Citation
C. Lefter et Vd. Radulescu, ON THE GINZBURG-LANDAU ENERGY WITH WEIGHT, Annales de l Institut Henri Poincare. Analyse non lineaire, 13(2), 1996, pp. 171-184
Citations number
6
Categorie Soggetti
Mathematics,Mathematics
Journal title
Annales de l Institut Henri Poincare. Analyse non lineaire → ACNP
ISSN journal
02941449
Volume
13
Issue
2
Year of publication
1996
Pages
171 - 184
Database
ISI
SICI code
0294-1449(1996)13:2<171:OTGEWW>2.0.ZU;2-Y
Abstract
This paper gives a solution to an open problem raised by Bethuel, Brez is and Helein. We study the Ginzburg-Landau energy with weight. We fin d the expression of the renormalized energy and we show that the finit e configuration of singularities of the limit is a minimum point of th is functional. We find a vanishing gradient type property and then we obtain the renormalized energy by Bethuel, Brezis and Helein's shrinki ng holes method.