Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Korn-Maxwell-Sobolev Inequalities   We establish a family of inequalities that allow one to estimate the
$\mathrm{L}^{q}$-norm of a matrix-valued field by the $\mathrm{L}^{q}$-norm of
an elliptic part and the $\mathrm{L}^{p}$-norm of the matrix-valued curl. This
particularly extends previous work by Neff et al. and, as a main novelty, is
applicable in the regime $p=1$.

33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th