4.6 Article

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

Journal

COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 329, Issue 1, Pages 383-404

Publisher

SPRINGER
DOI: 10.1007/s00220-014-1919-y

Keywords

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Funding

  1. ERC [277749]
  2. Alexander von Humboldt Foundation
  3. European Research Council (ERC) [277749] Funding Source: European Research Council (ERC)

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We consider the equation , with 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.

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