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arxiv: 1302.0276 · v1 · pith:4RRXNEPRnew · submitted 2013-02-01 · 🧮 math.AP

Non degeneracy of the bubble in the critical case for non local equations

Juan Davila , Manuel del Pino , Yannick Sire This is my paper
classification 🧮 math.AP
keywords criticalfractionalbubblecasedegeneracyequationequationsextremals
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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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