Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence results for super-Liouville equations on the sphere via
  bifurcation theory   We are concerned with super-Liouville equations on the two sphere, which have
variational structure with a strongly-indefinite functional. We prove the
existence of non-trivial solutions by combining the use of Nehari manifolds,
balancing conditions and bifurcation theory.

22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess