Bifurcation into spectral gaps for a noncompact semilinear Schrödinger equation with nonconvex potential

Christophe Troestler

This paper shows that the nonlinear periodic eigenvalue problem $${cases} -Δu + V(x) u - f(x,u) = λu, u \in H^1(\IR^N), {cases}$$ has a nontrivial branch of solutions emanating fro…