Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lp estimates and asymptotic behavior for finite energy solutions of
  extremals to Hardy-Sobolev inequalities   Motivated by the equation satisfied by the extremals of certain Hardy-Sobolev
type inequalities, we show sharp $L^q$ regularity for finite energy solutions
of p-laplace equations involving critical exponents and possible singularity on
a sub-space of $\mathbb{R}^n$, which imply asymptotic behavior of the solutions
at infinity. In addition, we find the best constant and extremals in the case
of the considered $L^2$ Hardy-Sobolev inequality.

25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys