On solutions of the exterior Dirichlet problem for the minimal surface equation
Annales de l'Institut Henri Poincaré. C, Analyse non linéaire, Tome 10 (1993) no. 4, pp. 445-451
@article{AIHPC_1993__10_4_445_0,
     author = {Kuwert, Ernst},
     title = {On solutions of the exterior {Dirichlet} problem for the minimal surface equation},
     journal = {Annales de l'Institut Henri Poincar\'e. C, Analyse non lin\'eaire},
     pages = {445--451},
     year = {1993},
     publisher = {Gauthier-Villars},
     volume = {10},
     number = {4},
     mrnumber = {1246462},
     zbl = {0820.35038},
     language = {en},
     url = {https://www.numdam.org/item/AIHPC_1993__10_4_445_0/}
}
TY  - JOUR
AU  - Kuwert, Ernst
TI  - On solutions of the exterior Dirichlet problem for the minimal surface equation
JO  - Annales de l'Institut Henri Poincaré. C, Analyse non linéaire
PY  - 1993
SP  - 445
EP  - 451
VL  - 10
IS  - 4
PB  - Gauthier-Villars
UR  - https://www.numdam.org/item/AIHPC_1993__10_4_445_0/
LA  - en
ID  - AIHPC_1993__10_4_445_0
ER  - 
%0 Journal Article
%A Kuwert, Ernst
%T On solutions of the exterior Dirichlet problem for the minimal surface equation
%J Annales de l'Institut Henri Poincaré. C, Analyse non linéaire
%D 1993
%P 445-451
%V 10
%N 4
%I Gauthier-Villars
%U https://www.numdam.org/item/AIHPC_1993__10_4_445_0/
%G en
%F AIHPC_1993__10_4_445_0
Kuwert, Ernst. On solutions of the exterior Dirichlet problem for the minimal surface equation. Annales de l'Institut Henri Poincaré. C, Analyse non linéaire, Tome 10 (1993) no. 4, pp. 445-451. https://www.numdam.org/item/AIHPC_1993__10_4_445_0/

[1] E. Giusti, Minimal Surfaces and Functions of Bounded Variation, Birkhäuser Verlag, Boston, Basel, Stuttgart, 1984. | Zbl | MR

[2] A. Haar, Über das Plateausche Problem, Math. Ann., Vol. 97, 1927, pp. 124-258. | MR | JFM

[3] H. Jenkins and J. Serrin, The Dirichlet Problem for the Minimal Surface Equation in Higher Dimension, J. Reine Ang. Math., Vol. 229, 1968, pp. 170-187. | Zbl | MR

[4] N. Korevaar, R. Kusner and B. Solomon, The Structure of Complete Embedded Surfaces with Constant Mean Curvature, J. Differential Geometry, Vol. 30, 1989, pp. 465-503. | Zbl | MR

[5] R. Krust, Remarques sur le problème extérieur de Plateau, Duke Math. J., Vol. 59, 1989, pp. 161-173. | Zbl | MR

[6] E. Kuwert, Embedded Solutions for Exterior Minimal Surface Problems, Manuscripta math., Vol. 70, 1990, pp. 51-65. | Zbl | MR

[7] R. Langévin and H. Rosenberg, A Maximum Principle at Infinity for Minimal Surfaces and Applications, Duke Math. J., Vol. 57, 1988, pp. 819-828. | Zbl | MR

[8] W.H. Meeks and H. Rosenberg, The Maximum Principle at Infinity for Minimal Surfaces in Flat Three Manifolds, Amhrest preprint, 1988.

[9] W.H. Meeks and S.T. Yau, The Existence of Embedded Minimal Surfaces and the Problem of Uniqueness, Math. Z., Vol. 179, 1982, pp. 151-168. | Zbl | MR

[10] J. Moser, On Harnack's Theorem for Elliptic Differential Equations, Comm. Pure Appl. Math., Vol. 14, 1961, pp. 577-591. | Zbl | MR

[11] R. Osserman, A Survey of Minimal Surfaces, Dover publ. 2nd ed., New York, 1986. | MR

[12] R. Schoen, Uniqueness, Symmetry and Embeddedness of Minimal Surfaces, J. Differential Geometry, Vol. 18, 1983, pp. 791-809. | Zbl | MR

[13] F. Tomi and R. Ye, The Exterior Plateau Problem, Math. Z., Vol. 205, 1990, pp. 223-245. | Zbl | MR