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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
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
Palabras clave:Dirichlet problem; Fixed points; Mean curvature
Año:1997
Volumen:4
Número:5
Página de inicio:617
Página de fin:620
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_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 [ ]