Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotics and quantization for a mean-field equation of higher order   Given a regular bounded domain $\Omega\subset\R{2m}$, we describe the
limiting behavior of sequences of solutions to the mean field equation of order
$2m$, $m\geq 1$, $$(-\Delta)^m u=\rho \frac{e^{2mu}}{\int_\Omega
e^{2mu}dx}\quad\text{in}\Omega,$$ under the Dirichlet boundary condition and
the bound $0<\rho\leq C$. We emphasize the connection with the problem of
prescribing the $Q$-curvature.

3
The categories of this paper are: physics
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
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The categories of this paper are: hep-th
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
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The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga