Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Applications of $p$-harmonic transplantation for functional inequalities
  involving a Finsler norm   In this paper, we prove several inequalities such as Sobolev, Poincar\'e,
logarithmic Sobolev, which involve a general norm with accurate information of
extremals, and are valid for some symmetric functions. We use Ioku's
transformation, which is a special case of $p$-harmonic transplantation,
between symmetric functions.

0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess