On the prescribed fractional Q-curvatures problem on [formula omitted] under pinching conditions

Abstract

In this paper, we study the prescribed fractional Q-curvatures problem of order 2σ on the n-dimensional standard sphere (Sn,g0), where n≥3, σ∈(0,n−22). By combining critical points at infinity approach with Morse theory we obtain new existence results under suitable pinching conditions.