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Bulletin of the American Mathematical Society

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A regularity theorem for the first variation of the area integrand


Author: William K. Allard
Journal: Bull. Amer. Math. Soc. 77 (1971), 772-776
MSC (1970): Primary 49F22; Secondary 49F10, 53A10
DOI: https://doi.org/10.1090/S0002-9904-1971-12802-1
MathSciNet review: 0290216
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References [Enhancements On Off] (What's this?)

  • 1. F. J. Almgren, Jr., The theory of varifolds, Mimeographed notes, Princeton, 1965.
  • 2. F. J. Almgren, Jr., Existence and regularity almost everywhere of solutions to elliptic variational problems among surfaces of varying topological type and singularity structure, Ann. of Math. (2) 87 (1968), 321-391. MR 37 #837. MR 225243
  • 3. H. Federer, Geometric measure theory, Die Grundlehren der math. Wissenschaften, Band 153, Springer-Verlag, New York, 1969. MR 41 #1976. MR 257325
  • 4. J. F. Nash, Jr., The imbedding problem for Riemannian manifolds, Ann. of Math. (2) 63 (1956), 20-63. MR 17, 782. MR 75639

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DOI: https://doi.org/10.1090/S0002-9904-1971-12802-1

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