Korn's inequalities for frame type structures and junctions with sharp estimates for the constants

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].