Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic behavior of solutions to the Monge--Amp\`ere equations with
  slow convergence rate at infinity   We consider the asymptotic behavior of solutions to the Monge--Amp\`ere
equations with slow convergence rate at infinity and fulfill previous results
under faster convergence rate by Bao--Li--Zhang [Calc. Var PDE. 52(2015). pp.
39-63]. Different from known results, we obtain the limit of Hessian and/or
gradient of solution at infinity relying on the convergence rate. The basic
idea is to use a revised level set method, the spherical harmonic expansion and
the iteration method.

9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn