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arXiv:1301.4868 [math.AP]AbstractReferencesReviewsResources

Uniqueness and nondegeneracy of positive solutions of $\Ds u+u=u^p$ in $\R^N$ when $s$ is close to 1

Mouhamed Moustapha Fall, Enrico Valdinoci

Published 2013-01-21, updated 2013-07-14Version 2

We consider the equation $\Ds u+u=u^p$, with $s\in(0,1)$ 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.

Categories: math.AP
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