On embedded minimal disks in convex bodies

M. Grüter; J. Jost

Annales de l'I.H.P. Analyse non linéaire (1986)

  • Volume: 3, Issue: 5, page 345-390
  • ISSN: 0294-1449

How to cite

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Grüter, M., and Jost, J.. "On embedded minimal disks in convex bodies." Annales de l'I.H.P. Analyse non linéaire 3.5 (1986): 345-390. <http://eudml.org/doc/78119>.

@article{Grüter1986,
author = {Grüter, M., Jost, J.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {embedded minimal disc; minimaxing varifold; curvature estimates; regularity},
language = {eng},
number = {5},
pages = {345-390},
publisher = {Gauthier-Villars},
title = {On embedded minimal disks in convex bodies},
url = {http://eudml.org/doc/78119},
volume = {3},
year = {1986},
}

TY - JOUR
AU - Grüter, M.
AU - Jost, J.
TI - On embedded minimal disks in convex bodies
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1986
PB - Gauthier-Villars
VL - 3
IS - 5
SP - 345
EP - 390
LA - eng
KW - embedded minimal disc; minimaxing varifold; curvature estimates; regularity
UR - http://eudml.org/doc/78119
ER -

References

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  1. [A1] W. Allard, On the first variation of a varifold, Ann. Math., t. 95, 1972, p. 417-491. Zbl0252.49028MR307015
  2. [A2] W. Allard, On the first variation of a varifold, Boundary behaviour, Ann. Math., t. 101, 1975, p. 418-446. Zbl0319.49026MR397520
  3. [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. Zbl0417.49051MR553794
  4. [F] H. Federer, Geometric measure theory, Springer, New York, 1969. Zbl0176.00801MR257325
  5. [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. 
  6. [P] J. Pitts, Existence and regularity of minimal surfaces in Riemannian manifolds, Princeton Univ. Press, 1982. Zbl0462.58003
  7. [SU] J. Sacks and K. Uhlenbeck, The existence of minimal immersions of 2-spheres, Ann. Math., t. 113, 1981, p. 1-24. Zbl0462.58014MR604040
  8. [SRS] R. Schoen and L. Simon, Regularity of stable minimal hypersurfaces, CPAM, t. 34, 1981, p. 741-797. Zbl0497.49034MR634285
  9. [SSY] R. Schoen, L. Simon and S.T. Yau, Curvature estimates for minimal hypersurfaces, Acta. Math., t. 134, 1975, p. 276-288. Zbl0323.53039MR423263
  10. [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). 
  11. [Sm] B. Smyth, Stationary minimal surfaces with boundary on a simplex, Inv. math., t. 76, 1984, p. 411-420. Zbl0527.53005MR746536
  12. [St] M. Struwe, On a free boundary problem for minimal surfaces, Inv. math., t. 75, 1984, p. 547-560. Zbl0537.35037MR735340

Citations in EuDML Documents

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  1. Michael Grüter, Jürgen Jost, Allard type regularity results for varifolds with free boundaries
  2. Mouhamed Moustapha Fall, Fethi Mahmoudi, Hypersurfaces with free boundary and large constant mean curvature: concentration along submanifolds
  3. Jürgen Jost, Existence results for embedded minimal surfaces of controlled topological type, II
  4. Alessandro Carlotto, Free boundary minimal surfaces: a survey of recent results
  5. Jürgen Jost, Existence results for embedded minimal surfaces of controlled topological type, I

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