Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the study of semilinear non-local elliptic systems   The purpose of this paper is to study the existence of solutions for
semilinear elliptic system driven by fractional Laplacian and establish some
new existence results which are obtained by virtue of the local linking theorem
and the saddle point theorem. To make the nonlinear scheme feasible, rigorous
analysis of the function space involved and corresponding energy functional is
necessary.

15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn