@article{ASNSP_1979_4_6_3_447_0,
author = {Almgren, Frederick J. and Simon, Leon},
title = {Existence of embedded solutions of {Plateau's} problem},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {447--495},
year = {1979},
publisher = {Scuola normale superiore},
volume = {Ser. 4, 6},
number = {3},
mrnumber = {553794},
zbl = {0417.49051},
language = {en},
url = {https://www.numdam.org/item/ASNSP_1979_4_6_3_447_0/}
}
TY - JOUR AU - Almgren, Frederick J. AU - Simon, Leon TI - Existence of embedded solutions of Plateau's problem JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1979 SP - 447 EP - 495 VL - 6 IS - 3 PB - Scuola normale superiore UR - https://www.numdam.org/item/ASNSP_1979_4_6_3_447_0/ LA - en ID - ASNSP_1979_4_6_3_447_0 ER -
%0 Journal Article %A Almgren, Frederick J. %A Simon, Leon %T Existence of embedded solutions of Plateau's problem %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1979 %P 447-495 %V 6 %N 3 %I Scuola normale superiore %U https://www.numdam.org/item/ASNSP_1979_4_6_3_447_0/ %G en %F ASNSP_1979_4_6_3_447_0
Almgren, Frederick J.; Simon, Leon. Existence of embedded solutions of Plateau's problem. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 6 (1979) no. 3, pp. 447-495. https://www.numdam.org/item/ASNSP_1979_4_6_3_447_0/
[AA] - , The structure of stationary one dimensional manifolds with positive density, preprint.
[A1] , Verzweigungspunkte von H-Flächen I, Math. Z., 127 (1972), pp. 333-362. | Zbl | MR
[A2] , Verzweigungspunkte von H-Flächen II, Math. Ann., 201 (1973), pp. 33-55. | Zbl | MR
[AS] - , Riemann Surfaces, Princeton University Press, 1960. | Zbl | MR
[AT] - , Examples of unknotted curves which bound only surfaces of high genus with their convex hulls, Ann. of Math., 105 (1977), pp. 527-538. | Zbl | MR
[AW1] , On the first variation of a varifold, Ann. of Math., 95 (1972), pp. 417-491. | Zbl | MR
[AW2] , On the first variation of a varifold: boundary behaviour, Ann. of Math., 101 (1975), pp. 418-446. | Zbl | MR
[C] , Dirichlet's Principle, Interscience, 1950. | MR
[D] , Solution of the problem of Plateau, Trans. Amer. Math. Soc., 33 (1931), pp. 263-321. | Zbl | MR
[FH] , Geometric measure theory, Springer-Verlag, 1969. | Zbl | MR
[G] , Regularity of minimizing surfaces of prescribed mean curvature, Ann. of Math. (1973), pp. 275-305. | Zbl | MR
[GOR] - - , A theory of branched immersions of surfaces, Amer. J. Math., 95 (1973), pp. 750-812. | Zbl | MR
[GS1] - , On embedded minimal surfaces, Ann. of Math., 103 (1976), pp. 331-347. | Zbl | MR
[GS2] - , Correction to « On embedded minimal surfaces», Ann. of Math., 109 (1979), pp. 407-412. | Zbl | MR
[M] , Almost every curve in R3 bounds a unique area minimizing surface, Invent. Math., 45 (1978), pp. 253-297. | Zbl | MR
[MY] - , The classical Plateau problem and the topology of 3-manifolds, Arch. Rational Mech. Anal.
[N] , Contours bounding at least three solutions of Plateau's problem, Arch. Rational Mech. Anal., 30 (1968), pp. 1-11. | Zbl | MR
[O] , A proof of the regularity everywhere of the classical solution of Plateau's problem, Ann. of Math., 91 (1970), pp. 550-569. | Zbl | MR
[P] , Existence and regularity of minimal surfaces in Riemannian manifolds, Bull. Amer. Math. Soc., 82 (1976), pp. 503-504. | Zbl | MR
[R] , The problem of least area and the problem of Plateau, Math. Z., 32 (1930), pp. 763-796. | MR | JFM
[TT] - , Extreme curves bound embedded minimal surfaces of the type of disc, Math. Z., 158 (1978), pp. 137-145. | Zbl | MR






