Uniqueness and Nondegeneracy of Positive Solutions of (-Δ)su + u = up in ℝN when s is Close to 1

Mouhamed Moustapha Fall, Enrico Valdinoci

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

We consider the equation (-Δ)su + u, 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.

Original languageEnglish
Pages (from-to)383-404
Number of pages22
JournalCommunications in Mathematical Physics
Volume329
Issue number1
DOIs
Publication statusPublished - Jul 2014
Externally publishedYes

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