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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Crystalline variational problems
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by Jean E. Taylor PDF
Bull. Amer. Math. Soc. 84 (1978), 568-588
References
  • William K. Allard, On the first variation of a varifold, Ann. of Math. (2) 95 (1972), 417–491. MR 307015, DOI 10.2307/1970868
  • 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 225243, DOI 10.2307/1970587
  • F. J. Almgren Jr., Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints, Mem. Amer. Math. Soc. 4 (1976), no. 165, viii+199. MR 420406, DOI 10.1090/memo/0165
  • [AC] E. Arbel and J. W. Cahn, A method for the absolute measurement of anisotropic solid-melt surface free energies (preprint). [C] J. W. Cahn, personal communication.
  • Alexander Dinghas, Über einen geometrischen Satz von Wulff für die Gleichgewichtsform von Kristallen, Z. Kristallogr., Mineral. Petrogr. 105 (1944), no. Abt. A., 304–314 (German). MR 0012454
  • Herbert Federer, Geometric measure theory, Die Grundlehren der mathematischen Wissenschaften, Band 153, Springer-Verlag New York, Inc., New York, 1969. MR 0257325
  • Herbert Federer, Colloquium lectures on geometric measure theory, Bull. Amer. Math. Soc. 84 (1978), no. 3, 291–338. MR 467473, DOI 10.1090/S0002-9904-1978-14462-0
  • [Fu] J. H. G. Fu, A mathematical model for crystal growth and related problems, Junior paper, Princeton University. [H] C. Herring, Some theorems on the free energy of crystal surface, Phys. Rev. 82 (1951), 87-93. [Le] M. v. Laue, Der Wulffsche Satz für die Gleichgewichtsform von Kristallen, Zeitschrift für Kristallographie 105 (1943), 124-133. [Ln] H. Liebmann, Der Curie-Wulff’sche Satz über Combinationsformen von Krystallen, Zeitschrift für Krystallographie und Mineralogie 53 (1914), 171-177.
  • Harold Parks, Explicit determination of area minimizing hypersurfacess, Duke Math. J. 44 (1977), no. 3, 519–534. MR 458304
  • R. Tyrrell Rockafellar, Convex analysis, Princeton Mathematical Series, No. 28, Princeton University Press, Princeton, N.J., 1970. MR 0274683, DOI 10.1515/9781400873173
  • Jean E. Taylor, Existence and structure of solutions to a class of nonelliptic variational problems, Symposia Mathematica, Vol. XIV (Convegno di Teoria Geometrica dell’Integrazione e Varietà Minimali, INDAM, Roma, Maggio 1973), Academic Press, London, 1974, pp. 499–508. MR 0420407
  • Jean E. Taylor, Unique structure of solutions to a class of nonelliptic variational problems, Differential geometry (Proc. Sympos. Pure Math., Vol. XXVII, Part 1, Stanford Univ., Stanford, Calif., 1973) Amer. Math. Soc., Providence, R.I., 1975, pp. 419–427. MR 0388225
  • [W] G. Wulff, Zur Frage der Geschwindigkeit des Wachsthums und der Auflösung der Krystallflachen, Zeitschrift für Krystallographie und Mineralogie 34 (1901), 449-530.
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 84 (1978), 568-588
  • MSC (1970): Primary 49F22, 49F20, 53C65, 49D99, 82A60, 82A65, 52A05, 52A40, 28A75, 49F10
  • DOI: https://doi.org/10.1090/S0002-9904-1978-14499-1
  • MathSciNet review: 0493671