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Homotopy classes in Sobolev spaces and energy minimizing maps
Author(s):
Brian
White
Journal:
Bull. Amer. Math. Soc.
13
(1985),
166-168.
MSC (1985):
Primary 58E20, 55P10;
Secondary 46E35
MathSciNet review:
799804
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References |
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Additional information
References:
- [EL] J. Eells and L. Lemaire, Selected topics in harmonic maps, CBMS Regional Conf. Ser. in Math., no. 50, Amer. Math. Soc., Providence, R. I., 1983. MR 703510
- [ES] J. Eells and J. Sampson, Harmonic mappings of Riemannian manifolds, Amer. J. Math. 86 (1964), 109-160. MR 164306
- [F] H. Federer, Geometric measure theory, Springer-Verlag, Berlin-Heidelberg-New York, 1969. MR 257325
- [SU] J. Sacks and K. Uhlenbeck, The existence of minimal 2-spheres, Ann. of Math. (2) 113 (1981), 1-24. MR 604040
- [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 for harmonic maps, J. Differential Geom. 18 (1983), 253-268. MR 710054
- [SY] R. Schoen and S. T. Yau, Existence of incompressible minimal surfaces and the topology of three-dimensional manifolds with non-negative scalar curvature, Ann. of Math. (2) 110 (1979), 127-142. MR 541332
- [W1] B. White, Mappings that minimize area in their homotopy classes, J. Differential Geom. (to appear). MR 788287
- [W2] B. White, Infima of energy functionals in homotopy classes of mappings, preprint. MR 845702
- [W3] B. White, Mappings that minimize energy functionals in their homotopy classes (in preparation).
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Additional Information:
DOI:
10.1090/S0273-0979-1985-15407-2
PII:
S 0273-0979(1985)15407-2
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