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

作者：Morassi Antonino; Rosset Edi^*; Vessella Sergio

来源：Journal of Differential Equations, 2017, 263(1): 811-840.

DOI：10.1016/j.jde.2017.02.055

• Elastic plates
• Korn inequalities
• Quantitative unique continuation
• Regularity

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 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.

• 出版日期2017-7-5