Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Radially symmetric minimizers for a $p$-Ginzburg Landau type energy in
  $\R^2$   We consider the minimization of a p-Ginzburg-Landau energy functional over
the class of radially symmetric functions of degree one. We prove the existence
of a unique minimizer in this class, and show that its modulus is monotone
increasing and concave. We also study the asymptotic limit of the minimizers as
p \rightarrow \infty. Finally, we prove that the radially symmetric solution is
locally stable for $p$ in the interval $(2,4]$.

16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph