Artículo
Dozo, E.L.; Mariani, M.C. "A Dirichlet problem for an H-system with variable H" (1993) Manuscripta Mathematica. 81(1):1-14
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Abstract:
We give conditions on H, a continuous and bounded real function in R3, to obtain at least two solutions for the problem (Dir) below. H can be far from being constant in the sense of [9]. Our motivation is a better understanding of the Plateau problem for the prescribed mean curvature equation. © 1993 Springer-Verlag.
Registro:
| Documento: | Artículo |
| Título: | A Dirichlet problem for an H-system with variable H |
| Autor: | Dozo, E.L.; Mariani, M.C. |
| Filiación: | Inst. Argentino de Matemática, CONICET, Viamonte 1636, 1er. cuerpo, 1er. piso 1055, Buenos Aires, Argentina Departmento de Matemática, Facultad de Ciencias Exactas y Naturales, UBA, Argentina Departmento de Matemática, Facultad de Ciencias Exactas y Naturales, UBA CONICET, Argentina |
| Año: | 1993 |
| Volumen: | 81 |
| Número: | 1 |
| Página de inicio: | 1 |
| Página de fin: | 14 |
| DOI: | http://dx.doi.org/10.1007/BF02567841 |
| Título revista: | Manuscripta Mathematica |
| Título revista abreviado: | Manuscripta Math |
| ISSN: | 00252611 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00252611_v81_n1_p1_Dozo |
Referencias:
- Ada, (1975) Sobolev Spaces, , Academic Press, New York
- Ambrosetti, A., Rabinowitz, P.H., Dual variational methods in critical point theory and applications (1973) J-Functional Analysis, 14, pp. 349-381
- Brezis, H., Coron, J.M., Multiple solutions of H-Systems and Rellich's conjeture (1984) Communications on Pure and Applied Mathematics, 37, pp. 149-187
- Wang, The Dirichlet Problem for the equation of prescribed mean curvature (1992) Analyse Nonlinéaire, 9, pp. 643-655
- Hildebrandt, S., On the Plateau problem for surfaces of constant mean curvature (1970) Communications on Pure and Applied Mathematics, 23, pp. 97-114
- Hildebrandt, S., Randwertprobleme für Flächen mit Vorgeschriebenes mittlerer Krümmung und Anwendungen auf die kapillaritätstheorie Teil I (1969) Fest vorgegebener Rand. Math.-Z., 112, pp. 205-213
- Struwe, M., (1989) Plateau's problem and the calculus of variations, , Math. Notes, 35, Princeton University Press, Princeton
- Struwe, M., Non-uniquenes in the Plateau problem for surfaces of constant mean curvature (1986) Arch. Rat. Mech. Anal., 93, pp. 135-157
- Struwe, M.: Multiple solutions to the Dirichlet problem for the equation of prescribed mean curvature, Preprint; Wente, H.C., The differential equation ΔX=2 HX<inf>u</inf>ΛX<inf>v</inf> with vanishing boundary values (1975) Proc. AMS, 50, pp. 59-77
Citas:
---------- APA ----------
Dozo, E.L. & Mariani, M.C. (1993) . A Dirichlet problem for an H-system with variable H. Manuscripta Mathematica, 81(1), 1-14.http://dx.doi.org/10.1007/BF02567841
---------- CHICAGO ----------
Dozo, E.L., Mariani, M.C. "A Dirichlet problem for an H-system with variable H" . Manuscripta Mathematica 81, no. 1 (1993) : 1-14.http://dx.doi.org/10.1007/BF02567841
---------- MLA ----------
Dozo, E.L., Mariani, M.C. "A Dirichlet problem for an H-system with variable H" . Manuscripta Mathematica, vol. 81, no. 1, 1993, pp. 1-14.http://dx.doi.org/10.1007/BF02567841
---------- VANCOUVER ----------
Dozo, E.L., Mariani, M.C. A Dirichlet problem for an H-system with variable H. Manuscripta Math. 1993;81(1):1-14.http://dx.doi.org/10.1007/BF02567841
