The plateau problem for the prescribed mean curvature equation

E. Lami Dozo; M. C. Mariani

Published

1993-01-01

The plateau problem for the prescribed mean curvature equation

Keywords:

Jordan curve, continuous and bounded function, Plateau problem, vector function, nonlinear differential equations (es)

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Authors

E. Lami Dozo IMA, Conicet
M. C. Mariani UBA

Abstract (es)

Given a Jordan curve r in Tin R³ and H : R³→ R³a continuous and bounded function, we consider the Plateau problem in the unit disc B = {(u, v) ∈ R³ ; u² +v² < I}, .i.e we look for a vector function X : B→R³ which satisfies the following system of nonlinear differential equations

How to Cite

APA

Lami Dozo, E. and Mariani, M. C. (1993). The plateau problem for the prescribed mean curvature equation. Revista Colombiana de Matemáticas, 27(1-2), 147–155. https://revistas.unal.edu.co/index.php/recolma/article/view/33589

ACM

[1]

Lami Dozo, E. and Mariani, M.C. 1993. The plateau problem for the prescribed mean curvature equation. Revista Colombiana de Matemáticas. 27, 1-2 (Jan. 1993), 147–155.

ACS

(1)

Lami Dozo, E.; Mariani, M. C. The plateau problem for the prescribed mean curvature equation. rev.colomb.mat 1993, 27, 147-155.

ABNT

LAMI DOZO, E.; MARIANI, M. C. The plateau problem for the prescribed mean curvature equation. Revista Colombiana de Matemáticas, [S. l.], v. 27, n. 1-2, p. 147–155, 1993. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/33589. Acesso em: 22 jan. 2025.

Chicago

Lami Dozo, E., and M. C. Mariani. 1993. “The plateau problem for the prescribed mean curvature equation”. Revista Colombiana De Matemáticas 27 (1-2):147-55. https://revistas.unal.edu.co/index.php/recolma/article/view/33589.

Harvard

Lami Dozo, E. and Mariani, M. C. (1993) “The plateau problem for the prescribed mean curvature equation”, Revista Colombiana de Matemáticas, 27(1-2), pp. 147–155. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/33589 (Accessed: 22 January 2025).

IEEE

[1]

E. Lami Dozo and M. C. Mariani, “The plateau problem for the prescribed mean curvature equation”, rev.colomb.mat, vol. 27, no. 1-2, pp. 147–155, Jan. 1993.

MLA

Lami Dozo, E., and M. C. Mariani. “The plateau problem for the prescribed mean curvature equation”. Revista Colombiana de Matemáticas, vol. 27, no. 1-2, Jan. 1993, pp. 147-55, https://revistas.unal.edu.co/index.php/recolma/article/view/33589.

Turabian

Lami Dozo, E., and M. C. Mariani. “The plateau problem for the prescribed mean curvature equation”. Revista Colombiana de Matemáticas 27, no. 1-2 (January 1, 1993): 147–155. Accessed January 22, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/33589.

Vancouver

1.

Lami Dozo E, Mariani MC. The plateau problem for the prescribed mean curvature equation. rev.colomb.mat [Internet]. 1993 Jan. 1 [cited 2025 Jan. 22];27(1-2):147-55. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/33589