Symmetry of the Ginzburg-Landau minimizer in a disc
Lieb, Elliott H. ; Loss, Michael
Journées équations aux dérivées partielles, (1995), p. 1-12 / Harvested from Numdam
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Publié le : 1995-01-01
@article{JEDP_1995____A18_0,
     author = {Lieb, Elliott H. and Loss, Michael},
     title = {Symmetry of the Ginzburg-Landau minimizer in a disc},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     year = {1995},
     pages = {1-12},
     mrnumber = {96i:35123},
     zbl = {0871.35041},
     language = {en},
     url = {http://dml.mathdoc.fr/item/JEDP_1995____A18_0}
}

Lieb, Elliott H.; Loss, Michael. Symmetry of the Ginzburg-Landau minimizer in a disc. Journées équations aux dérivées partielles,  (1995), pp. 1-12. http://gdmltest.u-ga.fr/item/JEDP_1995____A18_0/

[AL] F.J. Almgren, Jr. and E.H. Lieb, Symmetric decreasing rearrangement is sometimes continuous, J. Amer. Math. Soc. 2, 683-773 (1989). | MR 90f:49038 | Zbl 0688.46014

[BBH] F. Bethuel, H. Brezis and F. Hélein, Ginzburg-Landau Vortices, Birkhäuser 1994. | MR 95c:58044 | Zbl 0802.35142

[CG] G. Chiti, Rearrangements of functions and convergence in Orlicz spaces, Appl. Anal. 9, 23-27 (1979). | MR 80e:46020 | Zbl 0424.46023

[CT] M.G. Crandall and L. Tartar, Some relations between nonexpansive and order preserving mappings, Proc. Amer. Math. Soc. 78, 358-390 (1980). | MR 81a:47054 | Zbl 0449.47059

[HH] R.M. Hervé and M. Hervé, Etude qualitative des solutions réeles de l'équation differentielle ..., (to appear) | Numdam | Zbl 0836.34090

[JT] A. Jaffe and C. Taubes, Vortices and Monopoles, Birkhäuser (1980). | MR 82m:81051 | Zbl 0457.53034

[LE1] E.H. Lieb, Existence and uniqueness of the minimizing solution of Choquard's nonlinear equation, Stud. Appl. Math. 57, 93-105 (1977). | MR 57 #11508 | Zbl 0369.35022

[LE2] E.H. Lieb, Remarks on the Skyrme Model, in Proceedings of the Amer. Math. Soc. Symposia in Pure Math. 54, part 2, 379-384 (1993). (Proceedings of Summer Research Institute on Differential Geometry at UCLA, July 8-28, 1990.) | MR 94e:81357 | Zbl 0806.53077

[LL] E.H. Lieb and M. Loss, Symmetry of the Ginzburg-Landau Minimizer in a Disc, Mathematical Research Letters 1, 701-715 (1994). | MR 95h:58036 | Zbl 0842.49014

[MP] P. Mironescu, On the stability of radial solutions of the Ginzburg-Landau equation, submitted to J. Funct. Anal. (1994).