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Article Dans Une Revue Proceedings of the American Mathematical Society Année : 2013

Nondegeneracy of the bubble in the critical case for nonlocal equations

Résumé

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

Dates et versions

hal-01338797 , version 1 (29-06-2016)

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Juan Dávila, Manuel del Pino, Yannick Sire. Nondegeneracy of the bubble in the critical case for nonlocal equations. Proceedings of the American Mathematical Society, 2013, 141 (11), pp.3865--3870. ⟨10.1090/S0002-9939-2013-12177-5⟩. ⟨hal-01338797⟩
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