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Ground states and concentration phenomena for the fractional Schrödinger equation
2014, Fall, Mouhamed Moustapha, Mahmoudi, Fethi, Valdinoci, Enrico
We consider here solutions of the nonlinear fractional Schrödinger equation. We show that concentration points must be critical points for the potential. We also prove that, if the potential is coercive and has a unique global minimum, then ground states concentrate suitably at such minimal point. In addition, if the potential is radial, then the minimizer is unique.