Uniqueness and nondegeneracy of positive solutions of (-Delta) su + u = up in RN when s is close to 1

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 MoustaphaValdinoci, Enrico2016-03-242019-06-2820130946-8633https://doi.org/10.34657/3448https://oa.tib.eu/renate/handle/123456789/3161We consider the equation (-Δ)s u+u = up with s ∈ (0,1) in the subcritical range of p. We prove that if s is sufficiently close to 1 the equation possesses a unique minimizer, which is nondegenerate.application/pdfeng510Fractional Laplacianuniqueness resultsnondegeneracy of minimizersasymptotic methodsUniqueness and nondegeneracy of positive solutions of (-Delta) su + u = up in RN when s is close to 1Report