Electronic Journal of Differential Equations, Vol. 2004(2004), No. 127, pp. 1-10. Title: The Korn inequality for Jones domains Authors: Ricardo G. Duran (Univ. de Buenos Aires, Argentina) Maria Amelia Muschietti (Univ. Nacional de La Plata,Argentina) Abstract: In this paper we prove the Korn inequality, and its generalization to $L^p$, $1