Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On properties of positive solutions to nonlinear tri-harmonic and
  bi-harmonic equations with negative exponents   In this paper, we investigate various properties (e.g., nonexistence,
asymptotic behavior, uniqueness and integral representation formula) of
positive solutions to nonlinear tri-harmonic equations in $\mathbb{R}^{n}$
($n\geq2$) and bi-harmonic equations in $\mathbb{R}^{2}$ with negative
exponents. Such kind of equations arise from conformal geometry.

26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con