Geodesic
Some crystalline variational techniques and results
Théorie des variétés minimales et applications, Astérisque, no. 154-155 (1987), pp. 307-320

Voir la notice du chapitre de livre provenant de la source Numdam

MR Zbl 
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://geodesic.mathdoc.fr/item/AST_1987__154-155__307_0/
@incollection{AST_1987__154-155__307_0,
     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},
     year = {1987},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {154-155},
     mrnumber = {955071},
     zbl = {0635.53046},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AST_1987__154-155__307_0/}
}
TY  - CHAP
AU  - Taylor, J. E.
TI  - Some crystalline variational techniques and results
BT  - Théorie des variétés minimales et applications
AU  - Collectif
T3  - Astérisque
PY  - 1987
SP  - 307
EP  - 320
IS  - 154-155
PB  - Société mathématique de France
UR  - http://geodesic.mathdoc.fr/item/AST_1987__154-155__307_0/
LA  - en
ID  - AST_1987__154-155__307_0
ER  - 
%0 Book Section
%A Taylor, J. E.
%T Some crystalline variational techniques and results
%B Théorie des variétés minimales et applications
%A Collectif
%S Astérisque
%D 1987
%P 307-320
%N 154-155
%I Société mathématique de France
%U http://geodesic.mathdoc.fr/item/AST_1987__154-155__307_0/
%G en
%F 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. | MR | DOI

[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. | MR | Zbl | DOI

[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. | MR | Numdam

[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. | Zbl | MR