Uniqueness and nondegeneracy of positive solutions of (-Delta) su + u = up in RN when s is close to 1

Fall, Mouhamed Moustapha; Valdinoci, Enrico

Uniqueness and nondegeneracy of positive solutions of (-Delta) su + u = up in RN when s is close to 1

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755982436.pdf(246.78 KB)

Date

2013

Authors

Fall, Mouhamed Moustapha

Valdinoci, Enrico

Publisher

Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik

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.

Keywords

Fractional Laplacian, uniqueness results, nondegeneracy of minimizers, asymptotic methods

URI

https://doi.org/10.34657/3448
https://oa.tib.eu/renate/handle/123456789/3161

Citation

Fall, M. M., & Valdinoci, E. (2013). Uniqueness and nondegeneracy of positive solutions of (-Delta) su + u = up in RN when s is close to 1 (Version publishedVersion, Vol. 1804). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.

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Mathematik

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