Duke Mathematical Journal

Remarques sur le probleme exterieur de Plateau

Romain Krust

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Article information

Source
Duke Math. J., Volume 59, Number 1 (1989), 161-173.

Dates
First available in Project Euclid: 20 February 2004

Permanent link to this document
https://projecteuclid.org/euclid.dmj/1077307835

Digital Object Identifier
doi:10.1215/S0012-7094-89-05904-8

Mathematical Reviews number (MathSciNet)
MR1016882

Zentralblatt MATH identifier
0709.49022

Subjects
Primary: 49F10
Secondary: 53A10: Minimal surfaces, surfaces with prescribed mean curvature [See also 49Q05, 49Q10, 53C42]

Citation

Krust, Romain. Remarques sur le probleme exterieur de Plateau. Duke Math. J. 59 (1989), no. 1, 161--173. doi:10.1215/S0012-7094-89-05904-8. https://projecteuclid.org/euclid.dmj/1077307835


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References

  • [1] P. Collin and R. Krust, Le problème de Dirichlet pour l'équation des surfaces minimales sur un domaine non borné, en préparation.
  • [2] H. Jenkins and J. Serrin, Variational problems of minimal surface type. II. Boundary value problems for the minimal surface equation, Arch. Rational Mech. Anal. 21 (1966), 321–342.
  • [3] H. Jenkins and J. Serrin, The Dirichlet problem for the minimal surface equation in higher dimensions, J. Reine Angew. Math. 229 (1968), 170–187.
  • [4] R. Langevin and H. Rosenberg, A maximum principle at infinity for minimal surfaces and applications, Duke Math. J. 57 (1988), no. 3, 819–828.
  • [5] W. H. Meeks III and S. T. Yau, The existence of embedded minimal surfaces and the problem of uniqueness, Math. Z. 179 (1982), no. 2, 151–168.
  • [6] R. Osserman, A Survey of Minimal Surfaces, vol. 25, Van Nostrand Reinhold Math. Studies, New York, 1969.
  • [7] R. Sa Erap and H. Rosenberg, The Dirichlet problem for the minimal surface equation on unbounded planar domains, à paraître.