Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Radial solutions of scaling invariant nonlinear elliptic equations with
  mixed reaction terms   We study global properties of positive radial solutions of --$\Delta$u = up
+M |$\nabla$u|p+1 in RN wherep > 1 and M is a real number. We prove the
existence or the non-existence of ground states and of solutions with
singularity at 0 according to the values of M and p.

36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin