Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $L^p$-versions of generalized Korn inequalities for incompatible tensor
  fields in arbitrary dimensions with $p$-integrable exterior derivative   For $n\ge2$ and $1<p<\infty$ we prove an $L^p$-version of the generalized
Korn-type inequality for incompatible, $p$-integrable tensor fields $P:\Omega
\to \mathbb{R}^{n\times n}$ having $p$-integrable generalized
$\underline{\operatorname{Curl}}$ and generalized vanishing tangential trace
$P\,\tau_l=0$ on $\partial \Omega$, denoting by $\{\tau_l\}_{l=1,\ldots, n-1}$
a moving tangent frame on $\partial\Omega$, more precisely we have: $$\| P
\|_{L^p(\Omega,\mathbb{R}^{n\times n})}\leq c\,(\| \operatorname{sym}
P\|_{L^p(\Omega,\mathbb{R}^{n \times n})} + \|\underline{\operatorname{Curl}} P
\|_{L^p(\Omega,(\mathfrak{so}(n))^n)} ),$$ where the generalized
$\underline{\operatorname{Curl}}$ is given by $
(\underline{\operatorname{Curl}})_{ijk} :=\partial_i P_{kj}-\partial_j P_{ki}$
and $c=c(n,p,\Omega)>0$.

31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom