WIAS Preprint No. 1804, (2013)
Uniqueness and nondegeneracy of positive solutions of $(-Delta)^s u+u = u^p$ in $R^N$ when $s$ is close to 1
Authors
- Fall, Mouhamed Moustapha
- Valdinoci, Enrico
ORCID: 0000-0001-6222-2272
2010 Mathematics Subject Classification
- 26A33 35A15 35B40
Keywords
- Fractional Laplacian, uniqueness results, nondegeneracy of minimizers, asymptotic methods
DOI
Abstract
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.
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