The uniform Korn - Poincaré inequality in thin domains

Marta Lewicka, Stefan Müller

We study the Korn-Poincaré inequality: \|u\|_{W^{1,2}(S^h)} < C_h \|D(u)\|_{L^2(S^h)}, in domains S^h that are shells of small thickness of order h, around an arbitrary smooth and…