Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multiple solutions for a fractional $p$-Laplacian equation with
  sign-changing potential   We use a variant of the fountain Theorem to prove the existence of infinitely
many weak solutions for the following fractional p-Laplace equation
(-\Delta)^{s}_{p}u+V(x)|u|^{p-2}u=f(x,u) in R^N, where $s \in (0,1)$,$ p \geq
2$,$ N \geq 2$, $(-\Delta)^{s}_{p}$ is the fractional $p$-Laplace operator, the
nonlinearity f is $p$-superlinear at infinity and the potential V(x) is allowed
to be sign-changing.

34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ