LINEAR NON-DEGENERACY AND UNIQUENESS OF THE BUBBLE SOLUTION FOR THE CRITICAL FRACTIONAL HÉNON EQUATION IN RN

We study the equation (-Delta)su = |x|alpha u N-F2s-F2 alpha N-2s in RN , (P) where (-Delta)s is the fractional Laplacian operator with 0 < s < 1, alpha > -2s and N > 2s. We prove the linear non-degeneracy of positive radially symmetric solutions of the e