Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Magneto-static vortices in two dimensional Abelian gauge theories   We study the existence of vortices of the Klein-Gordon-Maxwell equations in
the two dimensional case. In particular we find sufficient conditions for the
existence of vortices in the magneto-static case, i.e when the electric
potential $\phi=0$. This result, due to the lack of suitable embedding theorems
for the vector potential $\A$ is achieved with the help of a penalization
method.

21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
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
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an