Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of solution for a class of nonlocal problem via dynamical
  methods   In this paper we use the dynamical methods to establish the existence of
nontrivial solution for a class of nonlocal problem of the type $$
\left\{\begin{array}{l} -a\left(x,\int_{\Omega}g(u)\,dx \right)\Delta u =f(u),
\quad x \in \Omega \\ u=0, \hspace{2 cm} x \in \partial \Omega,
\end{array}\right. \leqno{(P)} $$ where $\Omega \subset \mathbb{R}^N \, ( N
\geq 2)$ is a smooth bounded domain and $a:\overline{\Omega} \times \mathbb{R}
\to \mathbb{R}$ and $g,f: \mathbb{R} \to \mathbb{R}$ are $C^1$-functions that
satisfy some technical conditions.

1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas