Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Brezis-Nirenberg problem on non-contractible bounded domains of R^3   In this paper, we study the Brezis-Nirenberg problem on bounded smooth
domains of R3. Using the algebraic topological argument of Bahri-Coron[2] as
implemented in [6] combined with the Brendle[4]- Schoen[8]'s bubble
construction, we solve the problem for non-contractible domains.

28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph