Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On some variational algebraic problems   In this paper by exploiting critical point theory, the existence of two
distinct nontrivial solutions for a nonlinear algebraic system with a parameter
is established. Our goal is achieved by requiring an appropriate behavior of
the nonlinear term $f$ at zero and at infinity. Some applications to difference
equations are also presented.

19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org