Lignes de divergence pour les graphes à courbure moyenne constante

Laurent Mazet

Annales de l'I.H.P. Analyse non linéaire (2007)

  • Volume: 24, Issue: 5, page 757-771
  • ISSN: 0294-1449

How to cite

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Mazet, Laurent. "Lignes de divergence pour les graphes à courbure moyenne constante." Annales de l'I.H.P. Analyse non linéaire 24.5 (2007): 757-771. <http://eudml.org/doc/78758>.

@article{Mazet2007,
author = {Mazet, Laurent},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {mean curvature},
language = {fre},
number = {5},
pages = {757-771},
publisher = {Elsevier},
title = {Lignes de divergence pour les graphes à courbure moyenne constante},
url = {http://eudml.org/doc/78758},
volume = {24},
year = {2007},
}

TY - JOUR
AU - Mazet, Laurent
TI - Lignes de divergence pour les graphes à courbure moyenne constante
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2007
PB - Elsevier
VL - 24
IS - 5
SP - 757
EP - 771
LA - fre
KW - mean curvature
UR - http://eudml.org/doc/78758
ER -

References

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  1. [1] Collin P., Krust R., Le problème de Dirichlet pour l'équation des surfaces minimales sur des domaines non bornés, Bull. Soc. Math. France119 (1991) 443-462. Zbl0754.53013MR1136846
  2. [2] Finn R., The Gauss curvature of an H-graph, Nachr. Akad. Wiss. Göttingen2 (1987). Zbl0645.53003MR919511
  3. [3] Hélein F., Constant Mean Curvature Surfaces, Harmonic Maps and Integrable Systems, Lectures in Mathematics ETH Zürich, Birkhäuser, Basel, 2001. Zbl1158.53301MR1844305
  4. [4] Jenkins H., Serrin J., Variational problems of minimal surface type II, Arch. Rational Mech. Anal.21 (1966) 321-342. Zbl0171.08301MR190811
  5. [5] L. Mazet, Some uniqueness results for constant mean curvature graphs, Pacific J. Math., in press. Zbl1154.53008MR2309165
  6. [6] L. Mazet, Construction de surfaces minimales par résolution du problème de Dirichlet, Thèse de Doctorat, Univ. Toulouse III, 2004. 
  7. [7] Mazet L., The Dirichlet problem for the minimal surfaces equation and the Plateau problem at infinity, J. Inst. Math. Jussieu3 (2004) 397-420. Zbl1063.53007MR2074430
  8. [8] Meeks W.H., Ros A., Rosenberg H., The Global Theory of Minimal Surfaces in Flat Spaces, Lecture Notes in Mathematics, vol. 1775, Springer-Verlag, Berlin, 2002. 
  9. [9] Serrin J., The Dirichlet problem for surfaces of constant mean curvature, Proc. London Math. Soc. (3)21 (1970) 361-384. Zbl0199.16604MR275336
  10. [10] Serrin J., The problem of Dirichlet for quasilinear elliptic differential equations with many independent variables, Philos. Trans. Roy. Soc. London Ser. A264 (1969) 413-496. Zbl0181.38003MR282058
  11. [11] Spruck J., Infinite boundary value problems for surfaces of constant mean curvature, Arch. Rational Mech. Anal.49 (1972/73) 1-31. Zbl0263.53008MR334010

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