We study properties of generalized solutions of the Dirichlet–Robin problem for an elasticity
system in the exterior of a compact, as well as the asymptotic behavior of solutions of this …

We consider shells with zero Gaussian curvature, namely shells with one principal curvature
zero and the other one having a constant sign. Our particular interests are shells that are …

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 …

Thin elastic objects have fascinated mathematicians and engineers for centuries and more
recently have also become an object of intense study in theoretical physics, biology and …

In this paper, we continue the development of mathematically rigorous theory of “near-flip”
buckling of slender bodies of arbitrary geometry, based on hyperelasticity. In order to …

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

The goal of this paper is to apply the recently developed theory of buckling of arbitrary
slender bodies to a tractable yet non-trivial example of buckling in axially compressed …

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 …

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 …

In this paper we establish that the time-harmonic elasticity problem in a half-strip with non-
homogeneous Dirichlet conditions on its boundary section and traction-free conditions on its …