This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.Fall, Mouhamed MoustaphaMahmoudi, FethiValdinoci, Enrico2016-03-242019-06-2820142198-5855https://doi.org/10.34657/2459https://oa.tib.eu/renate/handle/123456789/2916We 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.application/pdfeng510Fractional Laplacianground statesconcentration phenomenauniquenessReport