Artículo
Canuto, B.; Rial, D. "Some remarks on solutions to an overdetermined elliptic problem in divergence form in a ball" (2007) Annali di Matematica Pura ed Applicata. 186(4):591-602
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Abstract:
We prove the existence of a continuum of non-radial pairs (k,u) solutions to the following overposed problem div in Br, u = 0 and on ∂Br, where Br is the Euclidean ball centered at zero of radius r in Rn. © Springer-Verlag 2006.
Registro:
| Documento: | Artículo |
| Título: | Some remarks on solutions to an overdetermined elliptic problem in divergence form in a ball |
| Autor: | Canuto, B.; Rial, D. |
| Filiación: | Departamento de matematica, Universidad de Buenos Aires, Buenos Aires, Argentina Esmeralda 2043, Florida (1602), Provincia de Buenos Aires, Argentina Departamento de Matemática, FCEyN, Universidad de Buenos Aires, 1428 Ciudad Universitaria, Nuñez, Pabellon 1, Buenos Aires 1428, Argentina |
| Palabras clave: | Overdetermined problems; Partial differential equations of elliptic type |
| Año: | 2007 |
| Volumen: | 186 |
| Número: | 4 |
| Página de inicio: | 591 |
| Página de fin: | 602 |
| DOI: | http://dx.doi.org/10.1007/s10231-006-0021-2 |
| Título revista: | Annali di Matematica Pura ed Applicata |
| Título revista abreviado: | Ann. Mat. Pura Appl. |
| ISSN: | 03733114 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03733114_v186_n4_p591_Canuto |
Referencias:
- Gilbarg, D., Trudinger, N.S., (1983) Elliptic Partial Differential Equations of Second Order, , Berlin Heidelberg New York: Springer
- Müller, C., (1966) Spherical Harmonics, , Berlin Heidelberg New York: Springer
- Serrin, J., A symmetry problem in potential theory (1971) Arch. Rat. Mech. Anal., 43, pp. 304-318
- Sobolev, S.L., (1950) Applications of Functional Analysis in Mathematical Physics, , Providence: AMS
Citas:
---------- APA ----------
Canuto, B. & Rial, D. (2007) . Some remarks on solutions to an overdetermined elliptic problem in divergence form in a ball. Annali di Matematica Pura ed Applicata, 186(4), 591-602.http://dx.doi.org/10.1007/s10231-006-0021-2
---------- CHICAGO ----------
Canuto, B., Rial, D. "Some remarks on solutions to an overdetermined elliptic problem in divergence form in a ball" . Annali di Matematica Pura ed Applicata 186, no. 4 (2007) : 591-602.http://dx.doi.org/10.1007/s10231-006-0021-2
---------- MLA ----------
Canuto, B., Rial, D. "Some remarks on solutions to an overdetermined elliptic problem in divergence form in a ball" . Annali di Matematica Pura ed Applicata, vol. 186, no. 4, 2007, pp. 591-602.http://dx.doi.org/10.1007/s10231-006-0021-2
---------- VANCOUVER ----------
Canuto, B., Rial, D. Some remarks on solutions to an overdetermined elliptic problem in divergence form in a ball. Ann. Mat. Pura Appl. 2007;186(4):591-602.http://dx.doi.org/10.1007/s10231-006-0021-2
