Some crystalline variational techniques and results
Théorie des variétés minimales et applications, Astérisque, no. 154-155 (1987), pp. 307-320.
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     author = {Taylor, J. E.},
     title = {Some crystalline variational techniques and results},
     booktitle = {Th\'eorie des vari\'et\'es minimales et applications},
     series = {Ast\'erisque},
     pages = {307--320},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {154-155},
     year = {1987},
     mrnumber = {955071},
     zbl = {0635.53046},
     language = {en},
     url = {http://www.numdam.org/item/AST_1987__154-155__307_0/}
}
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Taylor, J. E. Some crystalline variational techniques and results, dans Théorie des variétés minimales et applications, Astérisque, no. 154-155 (1987), pp. 307-320. http://www.numdam.org/item/AST_1987__154-155__307_0/

[l] J. E. Avron, J. E. Taylor, and R. K. P. Zia, Equilibrium shapes of crystals in a gravitational field : Crystals on a table, J. Stat. Phys. 33 (1983), 493-522. | DOI | MR

[2] J. W. Cahn, Transitions and phase equilibria among grain boundary structures, J. de Physique 43 (1982), C6 199-213.

[3] J. W. Cahn and D. W. Hoffman, A vector thermodynamics for anisotropic surfaces II. Curved and Faceted surfaces, Acta Met. 22 (1984), 1205-214. | DOI

[4] J. W. Cahn and J. E. Taylor, A contribution to the theory of surface energy minimizing shapes, Scripta Met. (1984) (to appear).

[5] A. Dinghas, Uber einen geometrischen Satz von Wulff fur die Gleichgewichtsform von Kristallen, Zeitschrift für Kristallographie 105 (1944), 304-314. | MR | Zbl

[6] J. E. Taylor, Crystalline variational problems, Bull. Amer. Math Soc. 84 (1978), 568-588. | DOI | MR | Zbl

[7] J. E. Taylor, Constructing crystalline minimal surfaces, Ann. Math. Studies 105, Seminar on Minimal Submanifolds, E. Bombieri Ed. (1983), 271-288. | MR | Zbl

[8] J. E. Taylor, Is there gravity induced faceting in crystals ? Proceedings of C.I.R.M. conference on "Variational methods for equilibrium problems of fluids," Trento, 1983, to appear in Astérisque. | Numdam | MR

[9] J. E. Taylor, An a priori bound on the combinatorial complexity of extremal crystalline mappings, in preparation.

[10] J. E. Taylor, Complete catalog of minimizing embedded crystalline cones, to be submitted to Proceedings of Symposia in Pure Mathematics (Amer. Math. Soc. Summer Institute 1984). | MR

[11] J. E. Taylor and J. W. Cahn, Catalog of saddle shaped surfaces in crystals, to be submitted to Acta Mettallurgica.

[12] J. E. Taylor and J. W. Cahn, The cusp : a new singularity in anisotropic energy minimizing surfaces, in preparation.

[13] G. Wulff, Zur Frage der Geschwindigkeit des Wachsthums und der Auflosung der Krystallflachen, Zeitschrift für Krystallographie und Mineralogie 34 (1901), 499-530.

[F] H. Federer, Geometric Measure Theory, Springer-Verlag, New-York, 1969. | MR | Zbl

[T6] J. E. Taylor, Unique structure of solutions to a class of nonelliptic variational problems, Proc. Symp. P. Math XXVII (1974), 481-489. | MR | Zbl