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Uniqueness and nondegeneracy of positive solutions of (-Delta) su + u = up in RN when s is close to 1
2013, Fall, Mouhamed Moustapha, Valdinoci, Enrico
We 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.