Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the optimal constants in Korn's and geometric rigidity estimates, in
  bounded and unbounded domains, under Neumann boundary conditions   We are concerned with the optimal constants: in the Korn inequality under
tangential boundary conditions on bounded sets $\Omega \subset \mathbb{R}^n$,
and in the geometric rigidity estimate on the whole $\mathbb{R}^2$. We prove
that the latter constant equals $\sqrt{2}$, and we discuss the relation of the
former constants with the optimal Korn's constants under Dirichlet boundary
conditions, and in the whole $\mathbb{R}^n$, which are well known to equal
$\sqrt{2}$. We also discuss the attainability of these constants and the
structure of deformations/displacement fields in the optimal sets.

22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th