Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Structure of conformal metrics on $\mathbb{R}^n$ with constant
  $Q$-curvature   In this article we study the nonlocal equation \begin{align}
  (-\Delta)^{\frac{n}{2}}u=(n-1)!e^{nu}\quad \text{in $\mathbb{R}^n$},
\quad\int_{\mathbb{R}^n}e^{nu}dx<\infty, \notag \end{align} which arises in the
conformal geometry. Inspired by the previous work of C. S. Lin and L.
Martinazzi in even dimension and T. Jin, A. Maalaoui, L. Martinazzi, J. Xiong
in dimension three we classify all solutions to the above equation in terms of
their behavior at infinity.

5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th