The symmetry of minimizing harmonic maps from a two dimensional domain to the sphere

Étienne Sandier

Annales de l'I.H.P. Analyse non linéaire (1993)

  • Volume: 10, Issue: 5, page 549-559
  • ISSN: 0294-1449

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Sandier, Étienne. "The symmetry of minimizing harmonic maps from a two dimensional domain to the sphere." Annales de l'I.H.P. Analyse non linéaire 10.5 (1993): 549-559. <http://eudml.org/doc/78316>.

@article{Sandier1993,
author = {Sandier, Étienne},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {liquid crystals; harmonic maps},
language = {eng},
number = {5},
pages = {549-559},
publisher = {Gauthier-Villars},
title = {The symmetry of minimizing harmonic maps from a two dimensional domain to the sphere},
url = {http://eudml.org/doc/78316},
volume = {10},
year = {1993},
}

TY - JOUR
AU - Sandier, Étienne
TI - The symmetry of minimizing harmonic maps from a two dimensional domain to the sphere
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1993
PB - Gauthier-Villars
VL - 10
IS - 5
SP - 549
EP - 559
LA - eng
KW - liquid crystals; harmonic maps
UR - http://eudml.org/doc/78316
ER -

References

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  1. [BBCH] F. Bethuel, H. Brezis, B.D. Coleman and F. Hélein, Bifurcation Analysis of Minimizing Harmonic Maps Describing the Equilibrium of Nematic Phases Between Cylinders, Archive for Rat. Mech. Anal (to appear). Zbl0825.76062MR1158933
  2. [BG] F. Bethuel and J.M. Ghidaglia, Improved Regularity of Elliptic Equations Involving Jacobians and Applications, (to appear). Zbl0831.35025
  3. [BC] H. Brezis and J.M. Coron, Large Solutions for Harmonic Maps in Two Dimensions, Comm. Math. Phys., Vol. 92, 1983, pp. 203-215. Zbl0532.58006MR728866
  4. [JK] W. Jäger and H. Kaul, Uniqueness and Stability of Harmonic Maps and their Jacobi Fields, Manuscripta Math., Vol. 28, 1979, pp. 269-291. Zbl0413.31006MR535705
  5. [K] S. Kaniel, Personal communication. 
  6. [S] E. Sandier, Symétrie des applications harmoniques minimisantes d'une couronne vers la sphère, C.R. Acad. Sci. Paris, t. 313, série I, 1991, pp. 435-440. Zbl0760.49006MR1127935

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