Affiliations: Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie, Tour 55–65, 5ème étage, 4 place Jussieu, 75252 Paris Cedex 05, France | Department of Mathematics, Moscow University, 119899 Moscow, Russia
Note: [] Correspondence to: D. Cioranescu, Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie, Tour 55–65, 5ème étage, 4 place Jussieu, 75252 Paris Cedex 05, France.
Abstract: In paper [1] Korn's inequalities are obtained for frame type structures and junctions. For such kind of domains, depending on several parameters, the constants in Korn's inequalities are given in a form which points out their dependence on these parameters and on the geometry of the domain. We improve here these estimates, we give the full proofs of them and show that the constants we obtain are asymptotically sharp. We also correct some misprints from paper [1].
