Abstract:
Two iterative schemes for the solution of an H-system with Dirichlet boundary data for a revolution surface are studied: a Newton imbedding type procedure, which yields the local quadratic convergence of the iteration and a more simple scheme based on the method of upper and lower solutions.
Registro:
Documento: |
Artículo
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Título: | Two iterative schemes for an H-system |
Autor: | Amster, P.; Mariani, M.C. |
Filiación: | FCEYN - Departamento de Matematica, Universidad de Buenos Aires, Ciudad Universitaria, (1428) Buenos Aires, Argentina CONICET, Argentina Department of Mathematical Sciences, New Mex. State University Las Cruces, United States
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Palabras clave: | H-systems; Iterative Methods; Newton Imbedding; Upper and Lower solutions |
Año: | 2005
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Volumen: | 6
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Número: | 1
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Página de inicio: | 1
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Página de fin: | 7
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Título revista: | Journal of Inequalities in Pure and Applied Mathematics
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Título revista abreviado: | J. Inequal. Pure Appl. Math.
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ISSN: | 14435756
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14435756_v6_n1_p1_Amster |
Referencias:
- Amster, P., Cassinelli, M.M., Mariani, M.C., Solutions to general quasilinear elliptic second order problems (2000) Nonlinear Studies, 7 (2), pp. 283-289
- Amster, P., Cassinelli, M.M., Mariani, M.C., Solutions to quasilinear equations by an iterative method (2000) Bulletin of the Belgian Math. Society, 7, pp. 435-441
- Amster, P., Cassinelli, M.M., Rial, D.F., Existence and uniqueness of H-System's solutions with Dirichlet conditions (2000) Nonlinear Analysis, Theory, Methods, and Applications, 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
- Cappieto, A., Mawhin, J., Zanolin, A.F., Boundary value problems for forced superlinear second order ordinary differential equations Séminaire du Collége de France
- 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
- Struwe, M., (1988) Plateau's Problem and the Calculus of Variations, , Lecture Notes, Princeton Univ. Press
- Wang, G., The Dirichlet problem for the equation of prescribed mean curvature (1992) Analyse Nonlinéaire, 9, pp. 643-655
Citas:
---------- APA ----------
Amster, P. & Mariani, M.C.
(2005)
. Two iterative schemes for an H-system. Journal of Inequalities in Pure and Applied Mathematics, 6(1), 1-7.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14435756_v6_n1_p1_Amster [ ]
---------- CHICAGO ----------
Amster, P., Mariani, M.C.
"Two iterative schemes for an H-system"
. Journal of Inequalities in Pure and Applied Mathematics 6, no. 1
(2005) : 1-7.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14435756_v6_n1_p1_Amster [ ]
---------- MLA ----------
Amster, P., Mariani, M.C.
"Two iterative schemes for an H-system"
. Journal of Inequalities in Pure and Applied Mathematics, vol. 6, no. 1, 2005, pp. 1-7.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14435756_v6_n1_p1_Amster [ ]
---------- VANCOUVER ----------
Amster, P., Mariani, M.C. Two iterative schemes for an H-system. J. Inequal. Pure Appl. Math. 2005;6(1):1-7.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14435756_v6_n1_p1_Amster [ ]