Artículo
Amster, P.; Mariani, M.C. "The prescribed mean curvature equation for nonparametric surfaces" (2003) Nonlinear Analysis, Theory, Methods and Applications. 52(4):1069-1077
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Abstract:
We study the prescribed mean curvature equation for nonparametric surfaces, obtaining existence and uniqueness results in the Sobolev space W2,p. We also prove that under appropriate conditions the set of surfaces of mean curvature H is a connected subset of W2,p. Moreover, we obtain existence results for a boundary value problem which generalizes the one-dimensional periodic problem for the mean curvature equation. © 2002 Published by Elsevier Science Ltd.
Registro:
| Documento: | Artículo |
| Título: | The prescribed mean curvature equation for nonparametric surfaces |
| Autor: | Amster, P.; Mariani, M.C. |
| Filiación: | Dpto. de Matemática, UBA, Ciudad Universitaria, Pab. I, 1428 Capital, Argentina |
| Palabras clave: | Boundary value problems; Fixed point methods; Mean curvature equation; Boundary value problems; Functions; Graph theory; Set theory; Mean curvature equations; Surface phenomena |
| Año: | 2003 |
| Volumen: | 52 |
| Número: | 4 |
| Página de inicio: | 1069 |
| Página de fin: | 1077 |
| DOI: | http://dx.doi.org/10.1016/S0362-546X(02)00105-0 |
| Título revista: | Nonlinear Analysis, Theory, Methods and Applications |
| Título revista abreviado: | Nonlinear Anal Theory Methods Appl |
| ISSN: | 0362546X |
| CODEN: | NOAND |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v52_n4_p1069_Amster |
Referencias:
- Amster, P., Mariani, M.C., The prescribed mean curvature equation with Dirichlet conditions (2001) Nonlinear Anal. Theory Meth. Appl., 44, pp. 59-64
- Amster, P., Mariani, M.C., Rial, D.F., Existence and uniqueness of H-system's solutions with Dirichlet conditions (2000) Nonlinear Anal. Theory Meth. Appl., 42 (4), pp. 673-677
- Brezis, H., Coron, J.M., Multiple solutions of H systems and Rellich's conjecture (1984) Comm. Pure Appl. Math., 37, pp. 149-187
- Gilbarg, D., Trudinger, N.S., (1983) Elliptic Partial Differential Equations of Second Order, , Springer, Berlin
- Hildebrandt, S., On the plateau problem for surfaces of constant mean curvature (1970) Comm. Pure Appl. Math., 23, pp. 97-114
- Lami Dozo, E., Mariani, M.C., A Dirichlet problem for an H system with variable H (1993) Manuscripta Math., 81, pp. 1-14
- Mariani, M.C., Rial, D.F., Solutions to the mean curvature equation by fixed point methods (1997) Bull. Belgian Math. Soc. Simon Stevin, 4, pp. 617-620
- Struwe, M., (1988) Plateau's Problem and the Calculus of Variations, , Lecture Notes, Princeton University Press, Princeton, NJ
- Struwe, M., Multiple solutions to the Dirichlet problem for the equation of prescribed mean curvature, , preprint
- Guofang, W., The Dirichlet problem for the equation of prescribed mean curvature (1992) Anal. Nonlinéaire, 9, pp. 643-655
Citas:
---------- APA ----------
Amster, P. & Mariani, M.C. (2003) . The prescribed mean curvature equation for nonparametric surfaces. Nonlinear Analysis, Theory, Methods and Applications, 52(4), 1069-1077.http://dx.doi.org/10.1016/S0362-546X(02)00105-0
---------- CHICAGO ----------
Amster, P., Mariani, M.C. "The prescribed mean curvature equation for nonparametric surfaces" . Nonlinear Analysis, Theory, Methods and Applications 52, no. 4 (2003) : 1069-1077.http://dx.doi.org/10.1016/S0362-546X(02)00105-0
---------- MLA ----------
Amster, P., Mariani, M.C. "The prescribed mean curvature equation for nonparametric surfaces" . Nonlinear Analysis, Theory, Methods and Applications, vol. 52, no. 4, 2003, pp. 1069-1077.http://dx.doi.org/10.1016/S0362-546X(02)00105-0
---------- VANCOUVER ----------
Amster, P., Mariani, M.C. The prescribed mean curvature equation for nonparametric surfaces. Nonlinear Anal Theory Methods Appl. 2003;52(4):1069-1077.http://dx.doi.org/10.1016/S0362-546X(02)00105-0
