Abstract:
We give conditions on the boundary data, in order to obtain at least one solution for the problem (1) below, with H a smooth function. Our motivation is a better understanding of the Plateau's problem for the prescribed mean curvature equation.
Registro:
Documento: |
Artículo
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Título: | Solutions to the mean curvature equation by fixed point methods |
Autor: | Mariani, M.C.; Rial, D.F. |
Filiación: | Departamento M, Carlos Calvo 4198, (1230) Buenos Aires, Argentina Dpto. de Matemática, Fac. de Cs. Exactas y Naturales, Cdad. Universitaria, 1428 Buenos Aires, Argentina
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Palabras clave: | Dirichlet problem; Fixed points; Mean curvature |
Año: | 1997
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Volumen: | 4
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Número: | 5
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Página de inicio: | 617
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Página de fin: | 620
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Título revista: | Bulletin of the Belgian Mathematical Society - Simon Stevin
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Título revista abreviado: | Bull. Belg. Math. Soc. Simon Stevin
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ISSN: | 13701444
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13701444_v4_n5_p617_Mariani |
Referencias:
- Brezis, H., Coron, J.M., Multiple solutions of H systems and Rellich 's conjeture (1984) Comm. Pure Appl. Math., 37, pp. 149-187
- Guofang, W., The Dirichlet problem for the equation of prescribed mean curvature (1992) Analyse Nonlinéaire, 9, pp. 643-655
- Struwe, M., (1989) Plateau's Problem and the Calculus of Variations, 35. , Lecture Notes Princeton Univ. Press
- Lami Dozo, E., Mariani, M.C., A Dirichlet problem for an H system with variable H (1993) Manuscripta Math., 81, pp. 1-14
- Gilbard, D., Trudinger, N.S., (1983) Elliptic Partial Differential Equations of Second Order, , Springer-Verlag, Berlin-New York
- Struwe, M., Multiple Solutions to the Dirichlet Problem for the Equation of Prescribed Mean Curvature, , Preprint
Citas:
---------- APA ----------
Mariani, M.C. & Rial, D.F.
(1997)
. Solutions to the mean curvature equation by fixed point methods. Bulletin of the Belgian Mathematical Society - Simon Stevin, 4(5), 617-620.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13701444_v4_n5_p617_Mariani [ ]
---------- CHICAGO ----------
Mariani, M.C., Rial, D.F.
"Solutions to the mean curvature equation by fixed point methods"
. Bulletin of the Belgian Mathematical Society - Simon Stevin 4, no. 5
(1997) : 617-620.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13701444_v4_n5_p617_Mariani [ ]
---------- MLA ----------
Mariani, M.C., Rial, D.F.
"Solutions to the mean curvature equation by fixed point methods"
. Bulletin of the Belgian Mathematical Society - Simon Stevin, vol. 4, no. 5, 1997, pp. 617-620.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13701444_v4_n5_p617_Mariani [ ]
---------- VANCOUVER ----------
Mariani, M.C., Rial, D.F. Solutions to the mean curvature equation by fixed point methods. Bull. Belg. Math. Soc. Simon Stevin. 1997;4(5):617-620.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13701444_v4_n5_p617_Mariani [ ]