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Optimal isoperimetric inequalities
Author(s):
F.
Almgren
Journal:
Bull. Amer. Math. Soc.
13
(1985),
123-126.
MSC (1980):
Primary 45F20;
Secondary 53A10, 45F10
MathSciNet review:
799792
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Additional information
References:
- [A1] F. Almgren, Optimal isoperimetric inequalities (preprint). MR 855173
- [A2] F. Almgren, Deformations and multiple-valued functions, Geometric Measure Theory and the Calculus of Variations, Proc. Sympos. Pure Math. (to appear). MR 840268
- [FH] H. Federer, Geometric measure theory, Grundlehren Math. Wiss., Band 153, Springer-Verlag, New York, 1969. MR 257325
- [FF] H. Federer and W. H. Fleming, Normal and integral currents, Ann. of Math. (2) 72 (1960), 458-520. MR 123260
- [OR] R. Osserman, The isoperimetric inequality, Bull. Amer. Math. Soc. 84 (1978), 1182-1238. MR 500557
- [W1] B. White, Existence of least-area mappings of N-dimensional domains, Ann. of Math. (2) 18 (1983), 179-185. MR 707165
- [W2] B. White, Mappings that minimize area in their homotopy classes, J. Differential Geom. 20 (1984), 433-446. MR 788287
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Additional Information:
DOI:
10.1090/S0273-0979-1985-15393-5
PII:
S 0273-0979(1985)15393-5
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