Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the exact number of bifurcation branches from a multiple eigenvalue   We study local bifurcation from an eigenvalue with multiplicity greater than
one for a class of semilinear elliptic equations. We evaluate the exact number
of bifurcation branches of non trivial solutions and we compute the Morse index
of the solutions in those branches.

37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int