F. Genoud
Asymptotic bifurcation for a semilinear elliptic problem on the half-line
(246K, pdf)

ABSTRACT.  An asymptotically linear elliptic equation on the half-line is considered. A global branch of positive solutions bifurcating from infinity is obtained. Classical global bifurcation theory cannot be 
applied due to the unboundedness of the domain and recent developments of degree theory are used to prove bifurcation.