Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solution of the fractional Allen-Cahn equation which are invariant under
  screw motion   We establish existence and non-existence results for entire solutions to the
fractional Allen-Cahn equation in $\mathbb R^3$, which vanish on helicoids and
are invariant under screw-motion. In addition, we prove that helicoids are
surfaces with vanishing nonlocal mean curvature.

19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin