Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bifurcation from infinity for elliptic problems on $R^N$   In the paper the asymptotic bifurcation of solutions to a parameterized
stationary semilinear Schr\"odinger equation involving a potential of the
Kato-Rellich type is studied. It is shown that the bifurcation from infinity
occurs if the parameter is an eigenvalue of the hamiltonian lying below the
asymptotic bottom of the bounded part of the potential. Thus the bifurcating
solution are related to bound states of the corresponding Schr\"odinger
equation. The argument relies on the use of the (generalized) Conley index due
to Rybakowski and resonance assumptions of the Landesman-Lazer or
sign-condition type.

12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat