We prove constructive estimates for elastic plates modelled by the
Reissner-Mindlin theory and made by general anisotropic material.
Namely, we obtain a generalized Korn inequality which allows to
derive quantitative stability and global H^2 regularity for the
Neumann problem. Moreover, in case of isotropic material, we
derive an interior three spheres inequality with optimal exponent
from which the strong unique continuation property follows.