Grüter, M.; Jost, J.
On embedded minimal disks in convex bodies
Annales de l'I.H.P. Analyse non linéaire, Tome 3 (1986) no. 5 , p. 345-390
Zbl 0617.49017 | MR 868522 | 4 citations dans Numdam
URL stable : http://www.numdam.org/item?id=AIHPC_1986__3_5_345_0

Bibliographie

[A1] W. Allard, On the first variation of a varifold, Ann. Math., t. 95, 1972, p. 417-491. MR 307015 | Zbl 0252.49028

[A2] W. Allard, On the first variation of a varifold, Boundary behaviour, Ann. Math., t. 101, 1975, p. 418-446. MR 397520 | Zbl 0319.49026

[AS] F. Almgren and L. Simon, Existence of embedded solutions of Plateau's problem. Ann. Sc. Norm. Sup. Pisa, t. 6, 1979, p. 447-495. Numdam | MR 553794 | Zbl 0417.49051

[F] H. Federer, Geometric measure theory, Springer, New York, 1969. MR 257325 | Zbl 0176.00801

[GJ] M. Grüter and J. Jost, Allard type regularity results for varifolds with free boundaries, Ann. Sc. Norm. Sup. Pisa, in press, 1980. [MSY] W. Meeks, L. Simon and S.T. Yau, Embedded minimal surfaces, exotic spheres and manifolds with positive Ricci curvature, Ann. Math., t. 116, 1982, p. 621-659.

[P] J. Pitts, Existence and regularity of minimal surfaces in Riemannian manifolds, Princeton Univ. Press, 1982. Zbl 0462.58003

[SU] J. Sacks and K. Uhlenbeck, The existence of minimal immersions of 2-spheres, Ann. Math., t. 113, 1981, p. 1-24. MR 604040 | Zbl 0462.58014

[SRS] R. Schoen and L. Simon, Regularity of stable minimal hypersurfaces, CPAM, t. 34, 1981, p. 741-797. MR 634285 | Zbl 0497.49034

[SSY] R. Schoen, L. Simon and S.T. Yau, Curvature estimates for minimal hypersurfaces, Acta. Math., t. 134, 1975, p. 276-288. MR 423263 | Zbl 0323.53039

[SS] L. Simon and F. Smith, On the existence of embedded minimal 2-spheres in the 3-sphere, endowed with an arbitrary metric, (to appear).

[Sm] B. Smyth, Stationary minimal surfaces with boundary on a simplex, Inv. math., t. 76, 1984, p. 411-420. MR 746536 | Zbl 0527.53005

[St] M. Struwe, On a free boundary problem for minimal surfaces, Inv. math., t. 75, 1984, p. 547-560. MR 735340 | Zbl 0537.35037