The existence of nonminimal regular harmonic maps from B 3 to S 2

Dong Zhang

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1989)

  • Volume: 16, Issue: 3, page 355-365
  • ISSN: 0391-173X

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Zhang, Dong. "The existence of nonminimal regular harmonic maps from $B^3$ to $S^2$." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 16.3 (1989): 355-365. <http://eudml.org/doc/84057>.

@article{Zhang1989,
author = {Zhang, Dong},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {harmonic maps; minimizer; singularities; axially symmetric map; critical points; Lipschitz's condition; regular map; ordinary differential equations},
language = {eng},
number = {3},
pages = {355-365},
publisher = {Scuola normale superiore},
title = {The existence of nonminimal regular harmonic maps from $B^3$ to $S^2$},
url = {http://eudml.org/doc/84057},
volume = {16},
year = {1989},
}

TY - JOUR
AU - Zhang, Dong
TI - The existence of nonminimal regular harmonic maps from $B^3$ to $S^2$
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1989
PB - Scuola normale superiore
VL - 16
IS - 3
SP - 355
EP - 365
LA - eng
KW - harmonic maps; minimizer; singularities; axially symmetric map; critical points; Lipschitz's condition; regular map; ordinary differential equations
UR - http://eudml.org/doc/84057
ER -

References

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  4. [BCL] H. Brézis - J. Coron - E. Lieb, Harmonic maps with defects, Preprint. Zbl1043.58504
  5. [deG] P. De Gennes, The physics of liquid crystals, Oxford: Clarendon Press1974. 
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  7. [E] J. Ericksen, Equilibrium theory of liquid crystals. In: Advances in liquid crystals, 2, pp. 233-299; Brown, G.H. (ed) New York: Academic Press1976. 
  8. [H] S. Hildebrandt, Proceedings of the 1980, Beijing Symposium on Differential Geometry and Equations. I, pp. 481-616. Zbl0515.58012
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  10. [HKW2] S. Hildebrandt - H. Kaul - K.O. Widman, An existence theory for harmonic mappings of Riemannian manifolds, Acta Math.138 (1977), pp. 1-16. Zbl0356.53015MR433502
  11. [HL1] R. Hardt - F.H. Lin, A remark on H1 mappings of Riemannian manifolds, Manuscripta Math.56 (1986), pp. 1-10. Zbl0618.58015MR846982
  12. [HL2] R. Hardt - F.H. Lin, Stability of singularities of minimizing harmonic maps, Preprint. MR978080
  13. [HKL1] R. Hardt - D. Kinderlehrer - F.H. Lin, Existence and partial regularity of static liquid crystal configurations, Comm. Math. Physics.105 (1986), pp. 189-194. Zbl0611.35077MR852090
  14. [HKL2] R. Hardt - D. Kinderlehrer - F.H. Lin, Stable defects of minimizers of constrained variational principles, IMA Preprint. Zbl0657.49018
  15. [M] C.B. MorreyJr., Multiple integrals in the calculus of variations, Springer-Verlag, Heildelberg and New York, 1966. Zbl0142.38701MR202511
  16. [SU1] R. Schoen - K. Uhlenbeck, A regularity theory for harmonic maps, J. Diff. Geom.60 (1984), pp. 307-335. Zbl0521.58021MR664498
  17. [SU2] R. Schoen - K. Uhlenbeck, Boundary regularity and the Dirichlet problem for harmonic maps, J. Diff. Geom.18, pp. 253-268. Zbl0547.58020MR710054
  18. [SU3] R. Schoen - K. Uhlenbeck, Regularity of minimizing harmonic maps into sphere, Inv. Math.78, (1984), pp. 89-100. Zbl0555.58011MR762354

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