Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence theorem for geometrically nonlinear Cosserat micropolar model
  under uniform convexity requirements   We reconsider the geometrically nonlinear Cosserat model for a uniformly
convex elastic energy and write the equilibrium problem as a minimization
problem. Applying the direct methods of the calculus of variations we show the
existence of minimizers. We present a clear proof based on the coercivity of
the elastically stored energy density and on the weak lower semi-continuity of
the total energy functional. Use is made of the dislocation density tensor
$\bar{\boldsymbol{K}}=\bar{\boldsymbol{R}}^T\,\mathrm{Curl}\,\bar{\boldsymbol{R}}$
as a suitable Cosserat curvature measure.

5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th