Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonhomogeneous systems involving critical or subcritical nonlinearities   This paper deals with existence of a nontrivial positive solution to systems
of equations involving nontrivial nonhomogeneous terms and critical or
subcritical nonlinearities. Via a minimization argument we prove existence of a
positive solution whose energy is negative provided that the nonhomogeneous
terms are small enough in the dual norm.

35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph