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

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.

Cited by in corpus (1)

• Linear non-degeneracy and uniqueness of the bubble solution for the critical fractional Hénon equation in ${\mathbb{R}}^N$