Artículo
Acosta, G.; Durán, R.G. "An optimal Poincaré inequality in L1 for convex domains" (2004) Proceedings of the American Mathematical Society. 132(1):195-202
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Abstract:
For convex domains Ω ⊂ ℝn with diameter d we prove ||u||L1(ω) ≤ d/2||∇u||L1(ω) for any u with zero mean value on ω. We also show that the constant 1/2 in this inequality is optimal.
Registro:
| Documento: | Artículo |
| Título: | An optimal Poincaré inequality in L1 for convex domains |
| Autor: | Acosta, G.; Durán, R.G. |
| Filiación: | Instituto de Ciencias, Univ. Nacional de General Sarmiento, J. M. Gutierrez 1150, B1613GSX Provincia de Buenos Aires, Argentina Departamento de Matemática, Fac. de Cie. Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina |
| Palabras clave: | Poincaré inequalities; Weighted estimates |
| Año: | 2004 |
| Volumen: | 132 |
| Número: | 1 |
| Página de inicio: | 195 |
| Página de fin: | 202 |
| DOI: | http://dx.doi.org/10.1090/S0002-9939-03-07004-7 |
| Título revista: | Proceedings of the American Mathematical Society |
| Título revista abreviado: | Proc. Am. Math. Soc. |
| ISSN: | 00029939 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v132_n1_p195_Acosta |
Referencias:
- Agmon, S., (1965) Lectures on Elliptic Boundary Value Problems, , Van Nostrand Company. MR 31:2504
- Gilbarg, D., Trudinger, N.S., (1983) Elliptic Partial Differential Equations of Second Order, , Springer Verlag, Berlin. MR 86c:35035
- Hardy, G.H., Littlewood, J.E., Polya, G., (1952) Inequalities, , Cambridge Univ. Press, Cambridge. MR 13:727e
- Payne, L.E., Weinberger, H.F., An optimal Poincaré inequality for convex domains (1960) Arch. Rat. Mech. Anal., 5, pp. 286-292. , MR 22:8198
- Verfürth, R., A note on polynomial approximation in Sobolev spaces (1999) Math. Model. Meth. Appl. Sci., 38, pp. 715-719. , MR 2000h:41016
- Gardner, R.J., The Brunn-Minkowski inequality (2002) Bull. Amer. Math. Soc., 39, pp. 355-405. , MR 2003f:26035
Citas:
---------- APA ----------
Acosta, G. & Durán, R.G. (2004) . An optimal Poincaré inequality in L1 for convex domains. Proceedings of the American Mathematical Society, 132(1), 195-202.http://dx.doi.org/10.1090/S0002-9939-03-07004-7
---------- CHICAGO ----------
Acosta, G., Durán, R.G. "An optimal Poincaré inequality in L1 for convex domains" . Proceedings of the American Mathematical Society 132, no. 1 (2004) : 195-202.http://dx.doi.org/10.1090/S0002-9939-03-07004-7
---------- MLA ----------
Acosta, G., Durán, R.G. "An optimal Poincaré inequality in L1 for convex domains" . Proceedings of the American Mathematical Society, vol. 132, no. 1, 2004, pp. 195-202.http://dx.doi.org/10.1090/S0002-9939-03-07004-7
---------- VANCOUVER ----------
Acosta, G., Durán, R.G. An optimal Poincaré inequality in L1 for convex domains. Proc. Am. Math. Soc. 2004;132(1):195-202.http://dx.doi.org/10.1090/S0002-9939-03-07004-7
