Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A nonradial bifurcation result with applications to supercritical
  problems   In this paper we consider the problem $-\Delta u=|x|^{\alpha} F(u)$ in $R^N$,
with $\alpha>0$ and $N\ge3$. Under some assumptions on $F$ we deduce the
existence of nonradial solutions which bifurcate from the radial one when
$\alpha$ is an even integer.

26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
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