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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

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

Author(s): Frederick J. Almgren Jr; Elliott H. Lieb
Journal: Bull. Amer. Math. Soc. 17 (1987), 304-306.
MSC (1985): Primary 58E20; Secondary 58E30, 82A50
MathSciNet review: 903738
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References | Similar articles | Additional information

References:

[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


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Additional Information:

DOI: 10.1090/S0273-0979-1987-15570-4
PII: S 0273-0979(1987)15570-4


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