Existence results for the mean curvature equation
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 base...
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| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
2001
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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 | 03190caa a22004937a 4500 | ||
|---|---|---|---|
| 001 | PAPER-1992 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518203119.0 | ||
| 008 | 190411s2001 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-0035425194 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 030 | |a NOAND | ||
| 100 | 1 | |a Amster, P. | |
| 245 | 1 | 0 | |a Existence results for the mean curvature equation |
| 260 | |c 2001 | ||
| 270 | 1 | 0 | |m Amster, P.; FCEyN-UBA, C.Univ. Pab I., 1428 Buenos Aires, Argentina |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a 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 | ||
| 504 | |a Amster, P., Mariani, M.C., The prescribed mean curvature equation with Dirichlet conditions Nonlinear Analysis, Theory, Methods, and Applications | ||
| 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-Verlag | ||
| 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 Struwe, M., Plateau's problem and the calculus of variations (1988) Lecture Notes, , Princeton Univ. Press | ||
| 504 | |a Guofang, W., The Dirichlet problem for the equation of prescribed mean curvature (1992) Analyse Nonlinéaire, 9, pp. 643-655 | ||
| 520 | 3 | |a 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. |l eng | |
| 593 | |a FCEyN-UBA, C.Univ. Pab I., 1428 Buenos Aires, Argentina | ||
| 690 | 1 | 0 | |a BOUNDARY CONDITIONS |
| 690 | 1 | 0 | |a HARMONIC ANALYSIS |
| 690 | 1 | 0 | |a MATHEMATICAL OPERATORS |
| 690 | 1 | 0 | |a PROBLEM SOLVING |
| 690 | 1 | 0 | |a THEOREM PROVING |
| 690 | 1 | 0 | |a VECTORS |
| 690 | 1 | 0 | |a MEAN CURVATURE EQUATIONS |
| 690 | 1 | 0 | |a LINEAR EQUATIONS |
| 700 | 1 | |a Mariani, M.C. | |
| 773 | 0 | |d 2001 |g v. 47 |h pp. 4845-4848 |k n. 7 |p Nonlinear Anal Theory Methods Appl |x 0362546X |w (AR-BaUEN)CENRE-254 |t Nonlinear Analysis, Theory, Methods and Applications | |
| 856 | 4 | 1 | |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-0035425194&doi=10.1016%2fS0362-546X%2801%2900596-X&partnerID=40&md5=9639ab7d9cdbe50d738b8ad66ea3aee6 |y Registro en Scopus |
| 856 | 4 | 0 | |u https://doi.org/10.1016/S0362-546X(01)00596-X |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_0362546X_v47_n7_p4845_Amster |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v47_n7_p4845_Amster |y Registro en la Biblioteca Digital |
| 961 | |a paper_0362546X_v47_n7_p4845_Amster |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||
| 963 | |a VARI | ||
| 999 | |c 62945 | ||