Artículo
Amster, P.; Mariani, M.C. "Solutions to H-systems by topological and iterative methods" (2003) Abstract and Applied Analysis. 2003(9):539-545
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Abstract:
We study H-systems with a Dirichlet boundary data g. Under some conditions, we show that if the problem admits a solution for some (H0, g 0), then it can be solved for any (H,g) close enough to (H 0,g0). Moreover, we construct a solution of the problem applying a Newton iteration.
Registro:
| Documento: | Artículo |
| Título: | Solutions to H-systems by topological and iterative methods |
| Autor: | Amster, P.; Mariani, M.C. |
| Filiación: | Departamento de Matemática, Fac. de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina |
| Año: | 2003 |
| Volumen: | 2003 |
| Número: | 9 |
| Página de inicio: | 539 |
| Página de fin: | 545 |
| DOI: | http://dx.doi.org/10.1155/S1085337503209015 |
| Título revista: | Abstract and Applied Analysis |
| Título revista abreviado: | Abstr. Appl. Anal. |
| ISSN: | 10853375 |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_10853375_v2003_n9_p539_Amster.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10853375_v2003_n9_p539_Amster |
Referencias:
- Amster, P., Mariani, M.C., Rial, D.F., Existence and uniqueness of H-system's solutions with Dirichlet conditions (2000) Nonlinear Anal., Ser. A: Theory Methods, 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 (2), pp. 149-187
- Hildebrandt, S., On the Plateau problem for surfaces of constant mean curvature (1970) Comm. Pure Appl. Math., 23, pp. 97-114
- Struwe, M., Plateau's Problem and the Calculus of Variations (1988) Mathematical Notes, 35. , Princeton University Press, New Jersey
- Wang, G.F., The Dirichlet problem for the equation of prescribed mean curvature (1992) Ann. Inst. H. Poincaré Anal. Non Linéaire, 9 (6), pp. 643-655
Citas:
---------- APA ----------
Amster, P. & Mariani, M.C. (2003) . Solutions to H-systems by topological and iterative methods. Abstract and Applied Analysis, 2003(9), 539-545.http://dx.doi.org/10.1155/S1085337503209015
---------- CHICAGO ----------
Amster, P., Mariani, M.C. "Solutions to H-systems by topological and iterative methods" . Abstract and Applied Analysis 2003, no. 9 (2003) : 539-545.http://dx.doi.org/10.1155/S1085337503209015
---------- MLA ----------
Amster, P., Mariani, M.C. "Solutions to H-systems by topological and iterative methods" . Abstract and Applied Analysis, vol. 2003, no. 9, 2003, pp. 539-545.http://dx.doi.org/10.1155/S1085337503209015
---------- VANCOUVER ----------
Amster, P., Mariani, M.C. Solutions to H-systems by topological and iterative methods. Abstr. Appl. Anal. 2003;2003(9):539-545.http://dx.doi.org/10.1155/S1085337503209015
