Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global bifurcation for a class of nonlinear ODEs   We briefly survey global bifurcation techniques, and illustrate their use by
finding multiple positive periodic solutions to a class of second order
quasilinear ODEs related to the Yamabe problem. As an application, we give a
bifurcation-theoretic proof of a classical nonuniqueness result for conformal
metrics with constant scalar curvature, that was independently discovered by O.
Kobayashi and R. Schoen in the 1980s.

23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph