Optimal Korn’s inequality for solenoidal vector fields on a periodic slab
Yoshiaki Teramoto, Kyoko Tomoeda · Proceedings of the Japan Academy Series A Mathematical Sciences · 2012
We obtain the best constant in Korn’s inequality for solenoidal vector fields on a periodic slab which vanish on a part of its boundary. To do this we consider the Stokes equations with Dirichlet boundary conditions, following H. Ito [6],[7].