Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Embedding theorems in the fractional Orlicz-Sobolev space and
  applications to non-local problems   In the present paper, we deal with a new continuous and compact embedding
theorems for the fractional Orlicz-Sobolev spaces, also, we study the existence
of infinitely many nontrivial solutions for a class of non-local fractional
Orlicz-Sobolev Schr\"{o}dinger equations whose simplest prototype is
$$(-\triangle)^{s}_{m}u+V(x)m(u)=f(x,u),\ x\in\mathbb{R}^{d},$$ where $0<s<1$,
$d\geq2$ and $(-\triangle)^{s}_{m}$ is the fractional $M$-Laplace operator. The
proof is based on the variant Fountain theorem established by Zou.

21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat