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Amster, P.; Mariani, M.C. "Existence results for the mean curvature equation" (2001) Nonlinear Analysis, Theory, Methods and Applications. 47(7):4845-4848
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Abstract:

Sufficient conditions for the existence of solutions for the mean curvature equation were deduced. The Dirichlet boundary data for a vector function satisfying the equation was considered. A family of functions were proposed for a given general function to analyze the solutions. The problem was based on the generalized Plateau problem.

Registro:

Documento: Artículo
Título:Existence results for the mean curvature equation
Autor:Amster, P.; Mariani, M.C.
Filiación:FCEyN-UBA, C.Univ. Pab I., 1428 Buenos Aires, Argentina
Palabras clave:Boundary conditions; Harmonic analysis; Mathematical operators; Problem solving; Theorem proving; Vectors; Mean curvature equations; Linear equations
Año:2001
Volumen:47
Número:7
Página de inicio:4845
Página de fin:4848
DOI: http://dx.doi.org/10.1016/S0362-546X(01)00596-X
Título revista:Nonlinear Analysis, Theory, Methods and Applications
Título revista abreviado:Nonlinear Anal Theory Methods Appl
ISSN:0362546X
CODEN:NOAND
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v47_n7_p4845_Amster

Referencias:

  • Amster, P., Mariani, M.C., Rial, D.F., Existence and uniqueness of H-system's solutions with dirichlet conditions (2000) Nonlinear Analysis, Theory, Methods, and Applications, 42, pp. 673-677
  • Amster, P., Mariani, M.C., The prescribed mean curvature equation with Dirichlet conditions Nonlinear Analysis, Theory, Methods, and Applications
  • 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
  • Struwe, M., Plateau's problem and the calculus of variations (1988) 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. (2001) . Existence results for the mean curvature equation. Nonlinear Analysis, Theory, Methods and Applications, 47(7), 4845-4848.
http://dx.doi.org/10.1016/S0362-546X(01)00596-X
---------- CHICAGO ----------
Amster, P., Mariani, M.C. "Existence results for the mean curvature equation" . Nonlinear Analysis, Theory, Methods and Applications 47, no. 7 (2001) : 4845-4848.
http://dx.doi.org/10.1016/S0362-546X(01)00596-X
---------- MLA ----------
Amster, P., Mariani, M.C. "Existence results for the mean curvature equation" . Nonlinear Analysis, Theory, Methods and Applications, vol. 47, no. 7, 2001, pp. 4845-4848.
http://dx.doi.org/10.1016/S0362-546X(01)00596-X
---------- VANCOUVER ----------
Amster, P., Mariani, M.C. Existence results for the mean curvature equation. Nonlinear Anal Theory Methods Appl. 2001;47(7):4845-4848.
http://dx.doi.org/10.1016/S0362-546X(01)00596-X