Abstract Let Ω⊂ R 3 be an open and bounded set with Lipschitz boundary and outward unit
normal ν. For 1< p<∞ we establish an improved version of the generalized L p-Korn …

For 1< p<∞, we prove an L p‐version of the generalized Korn inequality for incompatible
tensor fields P in W 0 1, p (Curl; Ω, ℝ 3× 3). More precisely, let Ω⊂ ℝ 3 be a bounded …

In the paper we deal with shells with non-zero Gaussian curvature. We derive sharp Korn's
first (linear geometric rigidity estimate) and second inequalities on that kind of shell for zero …

We consider shells of nonconstant thickness in three dimensional Euclidean space around
surfaces which have bounded principal curvatures. We derive Korn's interpolation inequality …

We present a concise point of view on the first and the second Korn's inequality for general
exponent $ p $ and for a class of domains that includes Lipschitz domains. Our argument is …

We consider the scaling of the optimal constant in Korn's first inequality for elliptic and
parabolic shells which was first given by Grabovsky and Harutyunyan with hints coming from …

We study the properties of solutions of the mixed Dirichlet–Robin and Neumann–Robin
problems for the linear system of elasticity theory in the exterior of a compact set and the …

It is known that the famous theoretical formula by Koiter for the critical buckling load of
circular cylindrical shells under axial compression does not coincide with the experimental …

We consider shells in three-dimensional Euclidean space that have bounded principal
curvatures. We prove Korn's interpolation (or the so-called first and a half 1) and the second …

In this paper we prove asymptotically sharp weighted “first-and-a-half” 2 D 2D Korn and Korn-
like inequalities with a singular weight occurring from Cartesian to cylindrical change of …