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- ItemUniqueness and nondegeneracy of positive solutions of (-Delta) su + u = up in RN when s is close to 1(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2013) Fall, Mouhamed Moustapha; Valdinoci, EnricoWe 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.