Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fast decaying solutions of Lane-Emden equations involving nonhomogeneous
  potential   We are interested in studying positive solutions of Lane-Emden equation
  $$ -\Delta u= V u^p\quad {\rm in}\quad \mathbb{R}^N\setminus\{0\}, $$
  where $V$ is a nonhomogeneous potential satisfying some extra hypotheses. We
construct a sequence of fast decaying solutions.

8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th