Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A weighted anisotropic Sobolev type inequality and its applications to
  Hardy inequalities   In this paper we focus our attention on an embedding result for a weighted
Sobolev space that involves as weight the distance function from the boundary
taken with respect to a general smooth gauge function $F$. Starting from this
type of inequalities we prove some refined Hardy-type inequalities.

33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th