Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $\mathscr{A}$-Quasiconvexity and Partial Regularity   We establish the first partial regularity result for local minima of strongly
$\mathscr{A}$-quasiconvex integrals in the case where the differential operator
$\mathscr{A}$ possesses an elliptic potential $\mathbb{A}$. As the main
ingredient, the proof works by reduction to the partial regularity for full
gradient functionals. Specialising to particular differential operators, the
results in this paper thereby equally yield novel partial regularity theorems
in the cases of the trace-free symmetric gradient, the exterior derivative or
the div-curl-operator.

16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs