Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A priori estimates for elliptic equations with reaction terms involving
  the function and its gradient   We study local and global properties of solutions of --$\Delta$u = u p + M
||u| q in a domain $\Omega$ of R N , in the range min{p, q} > 1 and M $\in$ R.
We prove a priori estimates and existence or non-existence of ground states.

7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex