Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Blow-up phenomena for linearly perturbed Yamabe problem on manifolds
  with umbilic boundary   We build blowing-up solutions for linear perturbation of the Yamabe problem
on manifolds with umbilic boundary, provided the Weyl tensor is nonzero
everywhere on the boundary and the dimension of the manifold is n>10.

5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph