A generalized Korn inequality and strong unique continuation for the Reissner–Mindlin plate system

Abstract

We prove constructive estimates for elastic plates modeled 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 H2 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.