@incollection{AST_1984__118__13_0, author = {Almgren, F. J. and Super, B.}, title = {Multiple valued functions in the geometric calculus of variations}, booktitle = {Variational methods for equilibrum problems of fluids - Trento, 20-25 juin 1983}, author = {Collectif}, series = {Ast\'erisque}, publisher = {Soci\'et\'e math\'ematique de France}, number = {118}, year = {1984}, pages = {13-32}, zbl = {0575.49025}, language = {en}, url = {http://www.numdam.org/item/AST_1984__118__13_0} }

Almgren, F. J.; Super, B. Multiple valued functions in the geometric calculus of variations, inVariational methods for equilibrum problems of fluids - Trento, 20-25 juin 1983, Astérisque, no. 118 (1984), pp. 13-32. http://www.numdam.org/item/AST_1984__118__13_0/

[A1] Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints, Mem. Amer.. Math. Soc. No. 165 (1976), VIII + 199. | Zbl 0327.49043

,[A2] Approximation of rectifiable currents by Lipschitz Q valued functions, Ann. of Math. Studies (to appear).

,[A3] $\mathbb{Q}$ valued functions minimizing Dirichlet's integral and the regularity of area minimizing rectifiable currents up to codimension two, (preprint). | Zbl 0557.49021

,[A4] Lecture notes on geometric measure theory, (in preparation).

,[ATZ] Equilibrium shapes of crystals in a gravitational field: crystals on a table, J. Statist. Phys. (to appear).

, , and ,[B] Regularity theory for almost minimal currents. Arch. Rational Mech. Anal. 78 no. 2 (1982), 99-130. | Article | Zbl 0485.49024

,[F] Geometric Measure Theory, Springer-Verlag, New York, 1969. | Zbl 0176.00801 | Zbl 0874.49001

,[HS] Boundary regularity and embedded solutions for the oriented Plateau problem, Ann. of Math. 110 (1979), 439-486. | Article | Zbl 0457.49029

and ,[M] Lower semicontinuity, existence and regularity theorems for elliptic variational integrals of multiple valued functions. Trans. Amer. Math. Soc. (to appear). | Zbl 0539.49010

,[N] A priori integral geometric estimates for non-positively curved surfaces, Ph.D. thesis, Princeton Univ., 1983.

,[S1] Lipschitz spaces of multiple valued functions and the closure theorem, Ph.D. thesis, Princeton Univ., 1982.

,[S2] A new proof of the closure theorem for integral currents, Indiana J. Math, (to appear). | Zbl 0512.28007

,[SU] Computational algorithms for generating minimal surfaces. Senior thesis, Princeton Univ., 1983.

,[T1] Unique structure of solutions to a class of nonelliptic variational problems, Proc. Symp. P. Math. XXVII (1974), 481-489. | Zbl 0317.49054

,,

[T2] Crystalline variational problems, Bull. Amer. Math. Soc. 84 (1978), 568-588. | Article | Zbl 0392.49022

,[w] Tangent cones to two dimensional area-minimizing integral currents are unique, Duke Math. J. 50 (1983), 143-160. | Zbl 0538.49030

,