Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ground state solutions for non-autonomous fractional Choquard equations   We consider the following nonlinear fractional Choquard equation,
\begin{equation}\label{e:introduction} \begin{cases} (-\Delta)^{s} u + u = (1 +
a(x))(I_\alpha \ast (|u|^{p}))|u|^{p - 2}u\quad\text{ in }\mathbb{R}^N,\\
u(x)\to 0\quad\text{ as }|x|\to \infty, \end{cases} \end{equation} here $s\in
(0, 1)$, $\alpha\in (0, N)$, $p\in [2, \infty)$ and $\frac{N - 2s}{N + \alpha}
< \frac{1}{p} < \frac{N}{N + \alpha}$. Assume $\lim_{|x|\to\infty}a(x) = 0$ and
satisfying suitable assumptions but not requiring any symmetry property on
$a(x)$, we prove the existence of ground state solutions.

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The categories of this paper are: solv-int
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an