Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence and non-existence results for the SU(3) singular Toda system
  on compact surfaces   We consider the SU(3) Toda system on a compact surface. We give both
existence and non-existence results under some conditions on the parameters.
Existence results are obtained using variational methods, which involve a
geometric inequality of new type; non-existence results are obtained using
blow-up analysis and localized Pohozaev identities.

4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs