Multiple Solutions for Scalar Field Equations with Potentials having "Subsidences"

Giovanna Cerami, Riccardo Molle, Donato Passaseo

In this paper the question of finding infinitely many solutions to the problem $-\Delta u+a(x)u=|u{|}^{p-2}u$, in ${\mathbb{R}}^N$, $u\in H^1({\mathbb{R}}^N)$, is considered when $N\ge 2$, $…