Multi-peak solutions for magnetic NLS equations without non--degeneracy conditions

Silvia Cingolani, Louis Jeanjean, Simone Secchi

In the work we consider the magnetic NLS equation (\frac{\hbar}{i} \nabla -A(x))^2 u + V(x)u - f(|u|^2)u = 0 \quad {in} \R^N where $N\ge 3$, $A:{\mathbb{R}}^N\to {\mathbb{R}}^N$ is a magneti…