W2, p Regularity of the Displacement Problem for the Lam´e System on W2, s Domains

On certain bounded C1 domains V that are not necessarily C1, 1, we prove that the Dirichlet problem Lusf on V, us0 on ­V with fgL p V.is well posed in W2, p V.lW01, p V. for all pg 1,q`., where L is the three-dimensional Lam´e system in linear elasticity.