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THE KORN INEQUALITY FOR JONES DOMAINS

In this paper we prove the Korn inequality, and its generalization to L p , 1 < p < 1, for bounded domains R n , n 2, satisfying an (, ) condition.

Ricardo G. Durán | R. Durán | M. Muschietti | M. A. Muschietti

[1] Peter W. Jones. Quasiconformal mappings and extendability of functions in sobolev spaces , 1981 .

[2] Kurt Friedrichs,et al. On the Boundary-Value Problems of the Theory of Elasticity and Korn's Inequality , 1947 .

[3] J. Oden,et al. Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods , 1987 .

[4] L. R. Scott,et al. The Mathematical Theory of Finite Element Methods , 1994 .

[5] J. Nitsche. On Korn's second inequality , 1981 .

[6] Local compactness for linear elasticity in irregular domains , 1994 .

[7] Philippe G. Ciarlet,et al. Introduction to Linear Shell Theory , 1989 .

[8] Cornelius O. Horgan,et al. On inequalities of Korn, Friedrichs and Babuška-Aziz , 1983 .

[9] S. Agmon. Lectures on Elliptic Boundary Value Problems , 1965 .

[10] K. Friedrichs. On certain inequalities and characteristic value problems for analytic functions and for functions of two variables , 1937 .

[11] J. Cooper. SINGULAR INTEGRALS AND DIFFERENTIABILITY PROPERTIES OF FUNCTIONS , 1973 .

[12] H. Whitney. Analytic Extensions of Differentiable Functions Defined in Closed Sets , 1934 .

[13] Cornelius O. Horgan,et al. Korn's Inequalities and Their Applications in Continuum Mechanics , 1995, SIAM Rev..

[14] Hans F. Weinberger,et al. On Korn's inequality , 1961 .