Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic behavior of extremal functions to an inequality involving
  Hardy potential and critical Sobolev exponent   In this paper, we study the asymptotic behavior of radial extremal functions
to an inequality involving Hardy potential and critical Sobolev exponent. Based
on the asymptotic behavior at the origin and the infinity, we shall deduce a
strict inequality between two best constants. Finally, as an application of
this strict inequality, we consider the existence of nontrivial solution of a
quasilinear Brezis-Nirenberg type problem with Hardy potential and critical
Sobolev exponent.

32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg