@article{AIHPC_1995__12_3_243_0,
author = {B\'ethuel, Fabrice and Rivi\`ere, Tristan},
title = {Vortices for a variational problem related to superconductivity},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
volume = {12},
year = {1995},
pages = {243-303},
mrnumber = {1340265},
zbl = {0842.35119},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPC_1995__12_3_243_0}
}
Bethuel, Fabrice; Rivière, Tristan. Vortices for a variational problem related to superconductivity. Annales de l'I.H.P. Analyse non linéaire, Tome 12 (1995) pp. 243-303. http://gdmltest.u-ga.fr/item/AIHPC_1995__12_3_243_0/
[1] , and , Asymptotics for the minimization of a Ginzburg-Landau functional, Calculus of Variations, Vol. I, 1993, pp. 123-148. | MR 1261720 | Zbl 0834.35014
[2] , and , Ginzburg-Landau Vortices, Birkhäuser, 1993. | MR 1269538 | Zbl 0802.35142
[3] , and , Limite singulière pour la minimisation de fonctionnelles du type Ginzburg-Landau, C. R. Acad. Sci. Paris, Vol. 314, 1992, pp. 891-895. | MR 1168319 | Zbl 0773.49003
[4] , and , Tourbillons de Ginzburg-Landau et énergies renormalisées, to appear inC. R. Acad. Sci. Paris, 1993. | MR 1231415 | Zbl 0783.35014
[5] , and , Quantization effects for -Δu = u (1 - |u|2) in R2, to appear in , Arch. for ratio. Mech.1993. | MR 1228965 | Zbl 0809.35019
[6] , and , Quantifications pour les solutions de -Δu = u(1 - |u|2) dans R2, to appear in C..R. .Acad. Sci. Paris, 1993. | MR 1228965
[7] , and , Sur un problème aux limites de la théorie de Ginzburg-Landau, C. R. Acad. Sci. Paris, Vol. 307, 1988, pp. 55-58. | MR 954091 | Zbl 0696.35058
[8] and , Bogomol'nyi bounds for cosmic strings, Nucl. Phys. B, Vol. 299, 1988, pp. 719-733. | MR 936758
[9] , and , Analysis and approximation of the Ginzburg-Landau model of superconductivity, SIAM Review, Vol. 34, 1992, pp. 45-81. | MR 1156289 | Zbl 0787.65091
[10] , Elliptic Problems in non-smooth domains, Pitman, Marshfields, Mass, 1985. | Zbl 0695.35060
[11] and , Vortices and Monopoles, Birkhäuser, 1980. | MR 614447 | Zbl 0457.53034
[12] , and , Type II Superconductivity, Pergamon Press, 1969.
[13] and , Cosmic string solutions of the Einstein Matter gauge equations, to appear1993.
[14] and , On multivortices in the electroweak theory II: existence of Bogomol'nyi solutions in R2, Comm. Math. Phys., Vol. 144, 1992, pp. 215-234. | MR 1152370 | Zbl 0748.53060
[15] , Equations elliptiques du second ordre à coefficients discontinus, Presses Univ. de Montreal, 1966. | MR 251373 | Zbl 0151.15501
[16] , Boundary value problems of the Ginzburg-Landau equations, Proc. Roy. Soc. Edinburgh, Vol. 114 A, 1990, pp. 355-365. | MR 1055553 | Zbl 0708.35074