Prescribed mean curvature equation with Dirichlet conditions
The Dirichlet problem in a bounded C1,1 domain Ω⊂R2 for a vector function X:Ω̄→R3 which satisfies the equation of prescribed mean curvature ΔX = 2H(u,v,X,X,u,Xv)XuΛXv in Ω, X = g in ∂Ω, (1) is considered, where Xu = ∂X/∂u, Xv = ∂X/∂v, Λ denotes the exterior product in R3 and H:Ω̄×(R3)3→R is a given...
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| Formato: | Acta de conferencia Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
Elsevier Science Ltd
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 | 03862caa a22005417a 4500 | ||
|---|---|---|---|
| 001 | PAPER-2082 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518203125.0 | ||
| 008 | 190411s2001 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-0035283919 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 030 | |a NOAND | ||
| 100 | 1 | |a Amster, P. | |
| 245 | 1 | 0 | |a Prescribed mean curvature equation with Dirichlet conditions |
| 260 | |b Elsevier Science Ltd |c 2001 | ||
| 270 | 1 | 0 | |m Amster, P.; Ciudad Universitaria, Capital, Argentina |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a Amster, P., Mariani, M.C., Rial, D.F., Existence and unicity of H-System's solutions with Dirichlet conditions Nonlinear Anal. Theory Methods Appl., , to appear | ||
| 504 | |a Bethuel, F., Ghidaglia, J., Improved regularity of solutions to elliptic equations involving jacobians and applications (1993) J. Math. Pures Appl. 9, 72 (5) | ||
| 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) Commun. Pure Appl. Math., 23, pp. 97-114 | ||
| 504 | |a Lami, D.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., 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) Analyse Nonlinéaire, 9, pp. 643-655 | ||
| 520 | 3 | |a The Dirichlet problem in a bounded C1,1 domain Ω⊂R2 for a vector function X:Ω̄→R3 which satisfies the equation of prescribed mean curvature ΔX = 2H(u,v,X,X,u,Xv)XuΛXv in Ω, X = g in ∂Ω, (1) is considered, where Xu = ∂X/∂u, Xv = ∂X/∂v, Λ denotes the exterior product in R3 and H:Ω̄×(R3)3→R is a given continuous function. The problem above arises in the Plateau and Dirichlet problems for the prescribed mean curvature equation that has been studied. |l eng | |
| 593 | |a Departamento de Matemática, Fac. Cs, Exact. Y Nat., UBA Pab. I., Capital, 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 DIRICHLET CONDITIONS |
| 690 | 1 | 0 | |a MEAN CURVATURE EQUATIONS |
| 690 | 1 | 0 | |a NONLINEAR EQUATIONS |
| 700 | 1 | |a Mariani, M.C. | |
| 711 | 2 | |c Exeter | |
| 773 | 0 | |d Elsevier Science Ltd, 2001 |g v. 44 |h pp. 59-64 |k n. 1 |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(99)00247-3 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_0362546X_v44_n1_p59_Amster |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v44_n1_p59_Amster |y Registro en la Biblioteca Digital |
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| 963 | |a VARI | ||
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