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Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints


Author: F. J. Almgren Jr.
Journal: Bull. Amer. Math. Soc. 81 (1975), 151-154
MSC (1970): Primary 49F22, 49F20; Secondary 53C65
DOI: https://doi.org/10.1090/S0002-9904-1975-13681-0
MathSciNet review: 0361996
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  • [A1] F. J. Almgren, Jr., Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints, 294 pp. (preprint).
  • [A2] F. J. Almgren, Jr., The structure of limit varifolds associated with minimizing sequences of mappings, Symposia Matematica (to appear).
  • [A3] 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
  • [F] H. Federer, Geometric measure theory, Die Grundlehren der math. Wissenschaften, Band 153, Springer-Verlag, New York, 1969. MR 41 #1976. MR 257325
  • [T] J. Taylor, Unique structure of solutions to a class of nonelliptic variational problems, Proc. Sympos. Pure Math., vol. 27, Amer. Math. Soc., Providence, R. I. (to appear). MR 388225
  • [TD] D'A. Thompson, On growth and form, abridged edition, Cambridge Univ. Press, New York, 1961. MR 23 #B1601. MR 128562

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DOI: https://doi.org/10.1090/S0002-9904-1975-13681-0

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