Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fourth order equations of critical Sobolev growth. Energy function and
  solutions of bounded energy in the conformally flat case   In this paper we study the energy function associated to fourth order
equations of critical growth on smooth compact conformally flat manifolds of
dimension greater or equal than 5.

24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org