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Referencias:

• Korn, A., Die eigenshwingungen eines elastichen körpers mit ruhender oberfläche (1906) Sitzungsberichte der Mathematisch-physikalischen klasse der Königlich bayerischen Akademie der Wissenschaften zu München, 36, pp. 351-402
• Korn, A., Über einige ungleichungen, welche in der theorie der elastischen und elektrischen schwingungen eine rolle spielen (1909) Bulletin international del'Académie des Sciences de Cracovie, 9, pp. 705-724
• Brenner, S., Scott, R., (2008) The Mathematical Theory of Finite Element Methods, , 3rd ed, Springer
• Kikuchi, N., Oden, J.T., (1988) Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods, , 2nd ed., Studies in Applied Mathematics., SIAM, Philadelphia
• Friederichs, K.O., On the boundary-value problems of the theory of elasticity and Korn's inequality (1947) Annals of Mathematics, 48, pp. 441-471
• Nitsche, J.A., On Korn's second inequality (1981) RAIRO Journal of Numerical Analysis, 15, pp. 237-248
• Durán, R., Muschietti, M.A., The Korn inequality for Jones domains (2004) Electronic Journal of Differential Equations, 127, pp. 1-10
• Jones, P.W., Quasiconformal mappings and extendability of functions in Sobolev spaces (1981) Acta Mathematica, 147 (1-2), pp. 71-88
• John, F., Rotation and strain (1961) Communications on Pure and Applied Mathematics, 14, pp. 391-413
• Martio, O., Sarvas, J., Injectivity theorems in plane and space (1978) Annales Academiae Scientiarum Fennicae, 1 (4), pp. 384-401. , ;
• Acosta, G., Durán, R., Muschietti, M.A., Solutions of the divergence operator on John domains (2006) Advances in Mathematics, 2 (26), pp. 373-401
• Durán, R.G., An elementary proof of the continuity from L02(ω) to H01(ω)n of Bogovskii's right inverse of the divergence (2012) Revista de la Unión Matemática Argentina, 53 (2), pp. 59-78
• Costabel, M., Dauge, M., (2013) On the inequalities of Babuška-Aziz, Friedrichs and Horgan-Payne, , arXiv1303.6141v1
• Acosta, G., Durán, R., López García, F., Korn inequality and divergence operator: counterexamples and optimality of weighted estimates (2013) Proceedings of the American Mathematical Society, 141 (1), pp. 217-232
• Durán, R., López García, F., Solutions of the divergence and Korn inequalities on domains with an external cusp (2010) Annales Academiae Scientiarum Fennicae, 35, pp. 421-438
• Nazarov, S.A., Notes to the proof of a weighted Korn inequality for an elastic body with peak-shaped cusps (2012) Journal of Mathematical Sciences, 181 (5), pp. 632-667
• Acosta, G., Durán, R., Lombardi, A., Weighted Poincaré and Korn inequalities for Hölder α domains (2006) Mathematical Methods in the Applied Sciences (MMAS), 29 (4), pp. 387-400
• Durán, R.G., Muschietti, M.A., Russ, E., Tchamitchian, P., Divergence operator and poincaré inequalities on arbitrary bounded domains (2010) Complex Variables and Elliptic Equations: An International Journal, 55 (8), pp. 795-816
• López García, F., A decomposition technique for integrable functions with applications to the divergence problem (2013) JMMA - in press, pp. 1-19
• Acosta, G., Ojea, I., Extension theorems for external cusps with minimal regularity (2012) Pacific Journal of Mathematics, 259 (1), pp. 1-39
• Kufner, A., Persson, L.E., (2003) Weighted Inequalities of Hardy Type, , 1st ed.,, World Scientific Publisher, London
• Veeser, A., Verfurth, R., Poincaré constants for finite element stars (2012) IMA Journal of Numerical Analysis, 32 (1), pp. 30-47
• Hurri-Syrjänen, R., An improved Poincaré inequality (1994) Proceedings of the American Mathematical Society, 120 (1), pp. 213-222
• Maz'ya, V., Poborchiǐ, S., (1997) Differentiable Functions on Bad Domains, , World Scientific Publishing Co., River Edge, NJ

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