Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The set of $p$-harmonic functions in $B_{1}$ is total in
  $C^{k}(\bar{B}_{1})$   Let $(-\Delta_{p})^{s}$, with $0<s<1<p<\infty$, be the fractional
$p$-Laplacian operator. We prove that the span of $p$-harmonic functions in
$B_{1}$ is dense in $C^{k}(\bar{B}_{1})$.

18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs