Symmetry of the Ginzburg-Landau minimizer in a disc

Elliott H. Lieb; Michael Loss

Journées équations aux dérivées partielles (1995)

  • Volume: 1995, page 1-12
  • ISSN: 0752-0360

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Lieb, Elliott H., and Loss, Michael. "Symmetry of the Ginzburg-Landau minimizer in a disc." Journées équations aux dérivées partielles 1995 (1995): 1-12. <http://eudml.org/doc/93303>.

@article{Lieb1995,
author = {Lieb, Elliott H., Loss, Michael},
journal = {Journées équations aux dérivées partielles},
keywords = {weak stability; vector field minimization problem},
language = {eng},
pages = {1-12},
publisher = {Ecole polytechnique},
title = {Symmetry of the Ginzburg-Landau minimizer in a disc},
url = {http://eudml.org/doc/93303},
volume = {1995},
year = {1995},
}

TY - JOUR
AU - Lieb, Elliott H.
AU - Loss, Michael
TI - Symmetry of the Ginzburg-Landau minimizer in a disc
JO - Journées équations aux dérivées partielles
PY - 1995
PB - Ecole polytechnique
VL - 1995
SP - 1
EP - 12
LA - eng
KW - weak stability; vector field minimization problem
UR - http://eudml.org/doc/93303
ER -

References

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  1. [AL] F.J. Almgren, Jr. and E.H. Lieb, Symmetric decreasing rearrangement is sometimes continuous, J. Amer. Math. Soc. 2, 683-773 (1989). Zbl0688.46014MR90f:49038
  2. [BBH] F. Bethuel, H. Brezis and F. Hélein, Ginzburg-Landau Vortices, Birkhäuser 1994. Zbl0802.35142MR95c:58044
  3. [CG] G. Chiti, Rearrangements of functions and convergence in Orlicz spaces, Appl. Anal. 9, 23-27 (1979). Zbl0424.46023MR80e:46020
  4. [CT] M.G. Crandall and L. Tartar, Some relations between nonexpansive and order preserving mappings, Proc. Amer. Math. Soc. 78, 358-390 (1980). Zbl0449.47059MR81a:47054
  5. [HH] R.M. Hervé and M. Hervé, Etude qualitative des solutions réeles de l'équation differentielle ..., (to appear) Zbl0836.34090
  6. [JT] A. Jaffe and C. Taubes, Vortices and Monopoles, Birkhäuser (1980). Zbl0457.53034MR82m:81051
  7. [LE1] E.H. Lieb, Existence and uniqueness of the minimizing solution of Choquard's nonlinear equation, Stud. Appl. Math. 57, 93-105 (1977). Zbl0369.35022MR57 #11508
  8. [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.) Zbl0806.53077MR94e:81357
  9. [LL] E.H. Lieb and M. Loss, Symmetry of the Ginzburg-Landau Minimizer in a Disc, Mathematical Research Letters 1, 701-715 (1994). Zbl0842.49014MR95h:58036
  10. [MP] P. Mironescu, On the stability of radial solutions of the Ginzburg-Landau equation, submitted to J. Funct. Anal. (1994). 

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