Nondegeneracy of the bubble in the critical case for nonlocal equations

Dávila, Juan; del Pino, Manuel; Sire, Yannick

doi:10.1090/S0002-9939-2013-12177-5

Nondegeneracy of the bubble in the critical case for nonlocal equations
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by Juan Dávila, Manuel del Pino and Yannick Sire PDF

Proc. Amer. Math. Soc. 141 (2013), 3865-3870 Request permission

Abstract:

We prove the nondegeneracy of the extremals of the fractional Sobolev inequality as solutions of a critical semilinear nonlocal equation involving the fractional Laplacian.

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