An energy constrained method for the existence of layered type solutions of NLS equations

Francesca Alessio, Piero Montecchiari

We study the existence of positive solutions on ${\mathbb{R}}^{N+1}$ to semilinear elliptic equation $-\Delta u+u=f(u)$ where $N\ge 1$ and $f$ is modeled on the power case $f(u)=|u{|}^{p-1}u$. Deno…