Artículo
Amster, P.; Mariani, M.C.; Rial, D.F. "Solutions of H-systems using the Green function" (2000) Bulletin of the Belgian Mathematical Society - Simon Stevin. 7(4):487-492
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Abstract:
We find a solution to the mean curvature equation with Dirichlet condition using the Green representation formula. Moreover, given Ho and go for which there exists a solution to the problem, we prove that for H and g in appropriate neighborhoods of Ho and go, there still exists a solution.
Registro:
| Documento: | Artículo |
| Título: | Solutions of H-systems using the Green function |
| Autor: | Amster, P.; Mariani, M.C.; Rial, D.F. |
| Filiación: | Dpto. de Matématica, Fac. de Cs. Exactas y Naturales, Ciudad Universitaria, (1428) Buenos Aires, Argentina |
| Año: | 2000 |
| Volumen: | 7 |
| Número: | 4 |
| Página de inicio: | 487 |
| Página de fin: | 492 |
| Título revista: | Bulletin of the Belgian Mathematical Society - Simon Stevin |
| Título revista abreviado: | Bull. Belg. Math. Soc. Simon Stevin |
| ISSN: | 13701444 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13701444_v7_n4_p487_Amster |
Referencias:
- Amster, P., Mariani, M.C., Rial, D.F., Existence and uniqueness of H-system's solutions with Dirichlet conditions Nonlinear Analysis, Theory, Methods, and Applications, , To appear
- 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-Verlag
- 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 Mathematica, 81, pp. 1-14
- Struwe, M., (1988) Plateau 's Problem and the Calculus of Variations, , Lecture Notes Princeton Univ. Press
- 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. & Rial, D.F. (2000) . Solutions of H-systems using the Green function. Bulletin of the Belgian Mathematical Society - Simon Stevin, 7(4), 487-492.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13701444_v7_n4_p487_Amster [ ]
---------- CHICAGO ----------
Amster, P., Mariani, M.C., Rial, D.F. "Solutions of H-systems using the Green function" . Bulletin of the Belgian Mathematical Society - Simon Stevin 7, no. 4 (2000) : 487-492.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13701444_v7_n4_p487_Amster [ ]
---------- MLA ----------
Amster, P., Mariani, M.C., Rial, D.F. "Solutions of H-systems using the Green function" . Bulletin of the Belgian Mathematical Society - Simon Stevin, vol. 7, no. 4, 2000, pp. 487-492.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13701444_v7_n4_p487_Amster [ ]
---------- VANCOUVER ----------
Amster, P., Mariani, M.C., Rial, D.F. Solutions of H-systems using the Green function. Bull. Belg. Math. Soc. Simon Stevin. 2000;7(4):487-492.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13701444_v7_n4_p487_Amster [ ]
