Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 
 

 

Singularities of energy-minimizing maps from the ball to the sphere


Authors: Frederick J. Almgren Jr and Elliott H. Lieb
Journal: Bull. Amer. Math. Soc. 17 (1987), 304-306
MSC (1985): Primary 58E20; Secondary 58E30, 82A50
DOI: https://doi.org/10.1090/S0273-0979-1987-15570-4
MathSciNet review: 903738
Full-text PDF Free Access

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [AL] F. J. Almgren, Jr. and E. H. Lieb, Singularities of energy-minimizing maps from the ball to the sphere: examples, counterexamples, and bounds, in preparation.
  • [BCL] H. Brezis, J.-M. Coron and E. H. Lieb, Harmonic maps with defects, Comm. Math. Physics 107 (1986), 649-705. MR 868739
  • [HKL] R. Hardt, D. Kinderlehrer and M. Luskin, Remarks about the mathematical theory of liquid crystals, IMA Preprint #276, October 1986. MR 974607
  • [HL] R. Hardt and F. H. Lin, A remark on H, Manuscripta Math. 56 (1986), 1-10. MR 846982
  • [SU1] R. Schoen and K. Uhlenbeck, A regularity theory for harmonic maps, J. Differential Geom. 17 (1982), 307-335. MR 664498
  • [SU2] R. Schoen and K. Uhlenbeck, Boundary regularity and the Dirichlet problem of harmonic maps, J. Differential Geom. 18 (1983), 253-268. MR 710054
  • [S] L. Simon, Asymptotics for a class of non-linear evolution equations with applications to geometric problems, Ann. of Math. (2) 118 (1983), 525-571. MR 727703

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1985): 58E20, 58E30, 82A50

Retrieve articles in all journals with MSC (1985): 58E20, 58E30, 82A50


Additional Information

DOI: https://doi.org/10.1090/S0273-0979-1987-15570-4

American Mathematical Society