Le problème de Dirichlet pour l'équation des surfaces minimales sur des domaines non bornés

P. Collin; R. Krust

Bulletin de la Société Mathématique de France (1991)

  • Volume: 119, Issue: 4, page 443-462
  • ISSN: 0037-9484

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Collin, P., and Krust, R.. "Le problème de Dirichlet pour l'équation des surfaces minimales sur des domaines non bornés." Bulletin de la Société Mathématique de France 119.4 (1991): 443-462. <http://eudml.org/doc/87632>.

@article{Collin1991,
author = {Collin, P., Krust, R.},
journal = {Bulletin de la Société Mathématique de France},
keywords = {minimal surfaces; Dirichlet problem; Schwartz theorem},
language = {fre},
number = {4},
pages = {443-462},
publisher = {Société mathématique de France},
title = {Le problème de Dirichlet pour l'équation des surfaces minimales sur des domaines non bornés},
url = {http://eudml.org/doc/87632},
volume = {119},
year = {1991},
}

TY - JOUR
AU - Collin, P.
AU - Krust, R.
TI - Le problème de Dirichlet pour l'équation des surfaces minimales sur des domaines non bornés
JO - Bulletin de la Société Mathématique de France
PY - 1991
PB - Société mathématique de France
VL - 119
IS - 4
SP - 443
EP - 462
LA - fre
KW - minimal surfaces; Dirichlet problem; Schwartz theorem
UR - http://eudml.org/doc/87632
ER -

References

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  1. [1] COLLIN (P.). — Compléments sur les graphes de courbure moyenne constante, à paraître. 
  2. [2] GILBARG (D.) and TRUDINGER (N.S.). — Elliptic partial differential equations of second order, Springer Verlag 1983. Zbl0562.35001MR86c:35035
  3. [3] HWANG (J.F.). — Comparison principles and Liouville theorems for prescribed mean curvature equation in unbounded domains, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), t. 15, 1988, p. 341-355. Zbl0705.49022MR90m:35019
  4. [4] JENKINS (H.) and SERRIN (J.). — Variational problems of minimal surfaces type, II. Boundary value problem for the minimal surface equation, Arch. Rational Mech. Anal., t. 21, 1963, p. 321-342. Zbl0171.08301
  5. [5] KRUST (R.). — Remarques sur le problème extérieur de Plateau, Duke Math. J., t. 59, 1989, p. 161-173. Zbl0709.49022MR90i:49050
  6. [6] LANGEVIN (R.), LEVITT (G.) and ROSENBERG (H.). — Complete minimal surfaces with long line boundaries, Duke Math. J., t. 55, 4, 1987, p. 1-11. Zbl0637.53007MR89h:53022
  7. [7] LANGEVIN (R.) and ROSENBERG (H.). — A maximal principle at infinity for minimal surfaces and applications, à paraître dans Duke Math., J., t. 57, 1988, p. 819-828. Zbl0667.49024MR90c:53025
  8. [8] BLAINE LAWSON (H.). — Lectures on minimal submanifolds, Vol. 1, Math. Lecture Series 9, Publish or Perish. Zbl0434.53006
  9. [9] OSSERMAN (R.). — A survey of minimal surfaces, Van Nostrand Reinhold Math. Studies 25, 1969. Zbl0209.52901MR41 #934
  10. [10] PROTTER (M.) and WEINBERGER (H.). — Maximum principles in differential equations. — Prentice Hall, 1967. Zbl0153.13602MR36 #2935
  11. [11] SA EARP (R.) and ROSENBERG (H.). — The Dirichlet problem for the minimal surface equation on unbounded planar domains, J. Math. Pures Appl., t. 68, 1989, p. 163-183. Zbl0696.49069MR90m:35072
  12. [12] SERRIN (J.). — A priori estimates for solutions of the minimal surface equation, Arch. Rationnal Mech. Anal., t. 14, 1963, p. 376-383. Zbl0117.07304MR28 #1386

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