Artículo
Amster, P.; Mariani, M.C. "Prescribed mean curvature equation with Dirichlet conditions" (2001) Nonlinear Analysis, Theory, Methods and Applications. 44(1):59-64
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Abstract:
The Dirichlet problem in a bounded C1,1 domain Ω⊂R2 for a vector function X:Ω̄→R3 which satisfies the equation of prescribed mean curvature ΔX = 2H(u,v,X,X,u,Xv)XuΛXv in Ω, X = g in ∂Ω, (1) is considered, where Xu = ∂X/∂u, Xv = ∂X/∂v, Λ denotes the exterior product in R3 and H:Ω̄×(R3)3→R is a given continuous function. The problem above arises in the Plateau and Dirichlet problems for the prescribed mean curvature equation that has been studied.
Registro:
| Documento: | Artículo |
| Título: | Prescribed mean curvature equation with Dirichlet conditions |
| Autor: | Amster, P.; Mariani, M.C. |
| Ciudad: | Exeter |
| Filiación: | Departamento de Matemática, Fac. Cs, Exact. Y Nat., UBA Pab. I., Capital, Argentina |
| Palabras clave: | Boundary conditions; Harmonic analysis; Mathematical operators; Problem solving; Theorem proving; Dirichlet conditions; Mean curvature equations; Nonlinear equations |
| Año: | 2001 |
| Volumen: | 44 |
| Número: | 1 |
| Página de inicio: | 59 |
| Página de fin: | 64 |
| DOI: | http://dx.doi.org/10.1016/S0362-546X(99)00247-3 |
| 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_v44_n1_p59_Amster |
Referencias:
- Amster, P., Mariani, M.C., Rial, D.F., Existence and unicity of H-System's solutions with Dirichlet conditions Nonlinear Anal. Theory Methods Appl., , to appear
- Bethuel, F., Ghidaglia, J., Improved regularity of solutions to elliptic equations involving jacobians and applications (1993) J. Math. Pures Appl. 9, 72 (5)
- 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) Commun. Pure Appl. Math., 23, pp. 97-114
- Lami, D.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., 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) Analyse Nonlinéaire, 9, pp. 643-655
Citas:
---------- APA ----------
Amster, P. & Mariani, M.C. (2001) . Prescribed mean curvature equation with Dirichlet conditions. Nonlinear Analysis, Theory, Methods and Applications, 44(1), 59-64.http://dx.doi.org/10.1016/S0362-546X(99)00247-3
---------- CHICAGO ----------
Amster, P., Mariani, M.C. "Prescribed mean curvature equation with Dirichlet conditions" . Nonlinear Analysis, Theory, Methods and Applications 44, no. 1 (2001) : 59-64.http://dx.doi.org/10.1016/S0362-546X(99)00247-3
---------- MLA ----------
Amster, P., Mariani, M.C. "Prescribed mean curvature equation with Dirichlet conditions" . Nonlinear Analysis, Theory, Methods and Applications, vol. 44, no. 1, 2001, pp. 59-64.http://dx.doi.org/10.1016/S0362-546X(99)00247-3
---------- VANCOUVER ----------
Amster, P., Mariani, M.C. Prescribed mean curvature equation with Dirichlet conditions. Nonlinear Anal Theory Methods Appl. 2001;44(1):59-64.http://dx.doi.org/10.1016/S0362-546X(99)00247-3
