Bifurcation from infinity for an asymptotically linear Schrödinger equation

Wojciech Kryszewski, Andrzej Szulkin

We consider an asymptotically linear Schrödinger equation $-\Delta u+V(x)u=\lambda u+f(x,u),x\in R^N$, and show that if ${\lambda }_0$ is an isolated eigenvalue for the linearization at infinit…