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

Mouhamed Moustapha Fall; Enrico Valdinoci

doi:10.1007/s00220-014-1919-y

Uniqueness and Nondegeneracy of Positive Solutions of (-Δ)^su + u = u^p in ℝ^N when s is Close to 1

Mouhamed Moustapha Fall, Enrico Valdinoci

Research output: Contribution to journal › Article › peer-review

48 Citations (Web of Science)

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 language	English
Pages (from-to)	383-404
Number of pages	22
Journal	Communications in Mathematical Physics
Volume	329
Issue number	1
DOIs	https://doi.org/10.1007/s00220-014-1919-y
Publication status	Published - Jul 2014
Externally published	Yes

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10.1007/s00220-014-1919-y

https://arxiv.org/pdf/1301.4868.pdf

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

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.",

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Uniqueness and Nondegeneracy of Positive Solutions of (-Δ)^su + u = u^p in ℝ^N when s is Close to 1

Abstract

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