Artículo
Durán, R.G.; Muschietti, M.A. "The Korn inequality for Jones domains" (2004) Electronic Journal of Differential Equations. 2004:1-10
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Abstract:
In this paper we prove the Korn inequality, and its generalization to Lp, 1 < p < ∞, for bounded domains Ω ⊂ ℝn, n ≥ 2, satisfying an (ε, δ) condition.
Registro:
| Documento: | Artículo |
| Título: | The Korn inequality for Jones domains |
| Autor: | Durán, R.G.; Muschietti, M.A. |
| Filiación: | Departamento de Matemática, Fac. Deciencias Exact. y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina Departamento de Matemática, Facultad de Ciencias Exactas, Universidad Nacional de la Plata, Casilla de Correo 172, 1900 La Plata, Argentina |
| Palabras clave: | Jones domains; Korn inequality |
| Año: | 2004 |
| Volumen: | 2004 |
| Página de inicio: | 1 |
| Página de fin: | 10 |
| Título revista: | Electronic Journal of Differential Equations |
| Título revista abreviado: | Electron. J. Differ. Equ. |
| ISSN: | 10726691 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2004_n_p1_Duran |
Referencias:
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- Ciarlet, P.G., Introduction to linear shell theory (1998) Series in Applied Mathematics, , P. G. Ciarlet and P. L. Lions, eds., Gauthier-Villars
- Friedrichs, K.O., On certain inequalities and characteristic value problems for analytic functions and for functions of two variables (1937) Trans. Amer. Math. Soc., 41, pp. 321-364
- Friedrichs, K.O., On the boundary-value problems of the theory of elasticity and Korn's inequality (1947) Ann. Math., 48, pp. 441-471
- Geymonat, G., Gilardi, G., Contre-exemples á l'inégalité de Korn et au Lemme de Lions dans des domaines irréguliers (1998) Equations aux Dérivées Partielles et Applications, pp. 541-548. , Gauthiers-Villars
- Horgan, C.O., Korn's inequalities and their applications in continuum mechanics (1995) SIAM Review, 37, pp. 491-511
- Horgan, C.O., Payne, L.E., On inequalities of Korn, Friedrichs and Babuska-Aziz (1983) Arch. Rational Mech. Anal., 82, pp. 165-179
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- Kikuchi, N., Oden, J.T., (1988) Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods, Studies in Applied Mathematics, , SIAM, Philadelphia
- Kondratiev, V.A., Oleinik, O.A., On Korn's inequalities (1989) C. R. Acad. Sci. Paris, 308, pp. 483-487
- Korn, A., Die eigenschwingungen eines elastichen korpers mit ruhender oberflache (1906) Akad. der Wissensch Munich, Math-phys. Kl, Beritche, 36, pp. 351-401
- Korn, A., Ubereinige ungleichungen, welche in der theorie der elastischen und elektrischen schwingungen eine rolle spielen (1909) Bulletin Internationale, pp. 705-724. , Cracovie Akademie Umiejet, Classe de sciences mathematiques et naturelles
- Nitsche, J.A., On Korn's second inequality (1981) RAIRO J. Numer. Anal., 15, pp. 237-248
- Payne, L.E., Weinberger, H.F., On Korn's inequality (1961) Arch. Rational Mech. Anal., 8, pp. 89-98
- Stein, E.M., (1970) Singular Integrals and Differentiability Properties of Functions, , Princeton University Press, Princeton, New Jersey
- Ting, T.W., Generalized Korn's inequalities (1972) Tensor, 25, pp. 295-302
- Weck, N., Local compactness for linear elasticity in irregular domains (1994) Math. Meth. Appl. Sci., 17, pp. 107-113
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Citas:
---------- APA ----------
Durán, R.G. & Muschietti, M.A. (2004) . The Korn inequality for Jones domains. Electronic Journal of Differential Equations, 2004, 1-10.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2004_n_p1_Duran [ ]
---------- CHICAGO ----------
Durán, R.G., Muschietti, M.A. "The Korn inequality for Jones domains" . Electronic Journal of Differential Equations 2004 (2004) : 1-10.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2004_n_p1_Duran [ ]
---------- MLA ----------
Durán, R.G., Muschietti, M.A. "The Korn inequality for Jones domains" . Electronic Journal of Differential Equations, vol. 2004, 2004, pp. 1-10.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2004_n_p1_Duran [ ]
---------- VANCOUVER ----------
Durán, R.G., Muschietti, M.A. The Korn inequality for Jones domains. Electron. J. Differ. Equ. 2004;2004:1-10.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2004_n_p1_Duran [ ]
