Nondegeneracy of the bubble in the critical case for nonlocal equations

  • Dávila J
  • del Pino M
  • Sire Y
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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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Dávila, J., del Pino, M., & Sire, Y. (2013). Nondegeneracy of the bubble in the critical case for nonlocal equations. Proceedings of the American Mathematical Society, 141(11), 3865–3870. https://doi.org/10.1090/s0002-9939-2013-12177-5

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