Entire solutions to nonlinear scalar field equations with indefinite linear part

Gilles Évéquoz, Tobias Weth

We consider the stationary semilinear Schrödinger equation $-\Delta u+a(x)u=f(x,u)$, $u\in H^1({\mathbb{R}}^N)$, where $a$ and $f$ are continuous functions converging to some limits $a_\infty…