Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On ground states for the L^2-critical boson star equation   We consider ground state solutions $u \geq 0$ for the $L^2$-critical boson
star equation $$ \sqrt{-\Delta} \, u - \big (|x|^{-1} \ast |u|^2 \big) u = -u
\quad {in $\R^3$}. $$ We prove analyticity and radial symmetry of $u$.
  In a previous version of this paper, we also stated uniqueness and
nondegeneracy of ground states for the $L^2$-critical boson star equation in
$\R^3$, but the arguments given there contained a gap. However, we refer to our
recent preprint \cite{FraLe} in {\tt arXiv:1009.4042}, where we prove a general
uniqueness and nondegeneracy result for ground states of nonlinear equations
with fractional Laplacians in $d=1$ space dimension.

12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas