Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Prescribing scalar curvatures: non compactness versus critical points at
  infinity   We illustrate an example of a generic, positive function K on a Riemannian
manifold to be conformally prescribed as the scalar curvature, for which the
corresponding Yamabe type L2-gradient flow exhibits non compact flow lines,
while a slight modification of it is compact.

20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th