The prescribed mean curvature equation for nonparametric surfaces
We study the prescribed mean curvature equation for nonparametric surfaces, obtaining existence and uniqueness results in the Sobolev space W2,p. We also prove that under appropriate conditions the set of surfaces of mean curvature H is a connected subset of W2,p. Moreover, we obtain existence resul...
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| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
2003
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
| Aporte de: | Registro referencial: Solicitar el recurso aquí |
| LEADER | 03893caa a22005417a 4500 | ||
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| 001 | PAPER-21587 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518205304.0 | ||
| 008 | 190411s2003 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-0037290409 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 030 | |a NOAND | ||
| 100 | 1 | |a Amster, P. | |
| 245 | 1 | 4 | |a The prescribed mean curvature equation for nonparametric surfaces |
| 260 | |c 2003 | ||
| 270 | 1 | 0 | |m Amster, P.; Dpto. de Matemática, UBA, Ciudad Universitaria, Pab. I, 1428 Capital, Argentina; email: pamster@dm.uba.ar |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a Amster, P., Mariani, M.C., The prescribed mean curvature equation with Dirichlet conditions (2001) Nonlinear Anal. Theory Meth. Appl., 44, pp. 59-64 | ||
| 504 | |a Amster, P., Mariani, M.C., Rial, D.F., Existence and uniqueness of H-system's solutions with Dirichlet conditions (2000) Nonlinear Anal. Theory Meth. Appl., 42 (4), pp. 673-677 | ||
| 504 | |a Brezis, H., Coron, J.M., Multiple solutions of H systems and Rellich's conjecture (1984) Comm. Pure Appl. Math., 37, pp. 149-187 | ||
| 504 | |a Gilbarg, D., Trudinger, N.S., (1983) Elliptic Partial Differential Equations of Second Order, , Springer, Berlin | ||
| 504 | |a Hildebrandt, S., On the plateau problem for surfaces of constant mean curvature (1970) Comm. Pure Appl. Math., 23, pp. 97-114 | ||
| 504 | |a Lami Dozo, E., Mariani, M.C., A Dirichlet problem for an H system with variable H (1993) Manuscripta Math., 81, pp. 1-14 | ||
| 504 | |a Mariani, M.C., Rial, D.F., Solutions to the mean curvature equation by fixed point methods (1997) Bull. Belgian Math. Soc. Simon Stevin, 4, pp. 617-620 | ||
| 504 | |a Struwe, M., (1988) Plateau's Problem and the Calculus of Variations, , Lecture Notes, Princeton University Press, Princeton, NJ | ||
| 504 | |a Struwe, M., Multiple solutions to the Dirichlet problem for the equation of prescribed mean curvature, , preprint | ||
| 504 | |a Guofang, W., The Dirichlet problem for the equation of prescribed mean curvature (1992) Anal. Nonlinéaire, 9, pp. 643-655 | ||
| 520 | 3 | |a We study the prescribed mean curvature equation for nonparametric surfaces, obtaining existence and uniqueness results in the Sobolev space W2,p. We also prove that under appropriate conditions the set of surfaces of mean curvature H is a connected subset of W2,p. Moreover, we obtain existence results for a boundary value problem which generalizes the one-dimensional periodic problem for the mean curvature equation. © 2002 Published by Elsevier Science Ltd. |l eng | |
| 593 | |a Dpto. de Matemática, UBA, Ciudad Universitaria, Pab. I, 1428 Capital, Argentina | ||
| 690 | 1 | 0 | |a BOUNDARY VALUE PROBLEMS |
| 690 | 1 | 0 | |a FIXED POINT METHODS |
| 690 | 1 | 0 | |a MEAN CURVATURE EQUATION |
| 690 | 1 | 0 | |a BOUNDARY VALUE PROBLEMS |
| 690 | 1 | 0 | |a FUNCTIONS |
| 690 | 1 | 0 | |a GRAPH THEORY |
| 690 | 1 | 0 | |a SET THEORY |
| 690 | 1 | 0 | |a MEAN CURVATURE EQUATIONS |
| 690 | 1 | 0 | |a SURFACE PHENOMENA |
| 700 | 1 | |a Mariani, M.C. | |
| 773 | 0 | |d 2003 |g v. 52 |h pp. 1069-1077 |k n. 4 |p Nonlinear Anal Theory Methods Appl |x 0362546X |w (AR-BaUEN)CENRE-254 |t Nonlinear Analysis, Theory, Methods and Applications | |
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| 856 | 4 | 0 | |u https://doi.org/10.1016/S0362-546X(02)00105-0 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_0362546X_v52_n4_p1069_Amster |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v52_n4_p1069_Amster |y Registro en la Biblioteca Digital |
| 961 | |a paper_0362546X_v52_n4_p1069_Amster |b paper |c PE | ||
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