Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A mass transportation approach for Sobolev inequalities in variable
  exponent spaces   In this paper we provide a proof of the Sobolev-Poincar\'e inequality for
variable exponent spaces by means of mass transportation methods. The
importance of this approach is that the method is exible enough to deal with
different inequalities. As an application, we also deduce the Sobolev-trace
inequality improving the result obtained by Fan.

1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga