Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A nonexistence result for a nonlinear elliptic equation with singular
  and decaying potential   The paper deals with positive radial solutions to a nonlinear elliptic
equation with singular and decaying potential, for which several existence and
nonexistence results are known, resting upon suitable compatibility conditions
between the decaying rate of the potential and the growth rate of the
nonlinearity. The problem of the existence is still open for essentially three
cases and we give a negative answer to one of such cases.

33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
18
The categories of this paper are: econ