Ground states and concentration phenomena for the fractional Schrödinger equation

Mouhamed Moustapha Fall, Fethi Mahmoudi, Enrico Valdinoci

We consider here solutions of the nonlinear fractional Schrödinger equation $${\epsilon }^{2s}(-\Delta {)}^{s}u+V(x)u=u^p.$$ We show that concentration points must be critical points for $V$. We also…