New existence results for prescribed fractional Q-curvatures problem on \mathbbSⁿ under pinching conditions

2022/03/23 by Zhongwei Tang, Tang, Zhongwei, Zhou, Ning
Mathematics · #Nonlinear Partial Differential Equations #Geometric Analysis and Curvature Flows #Advanced Harmonic Analysis Research

paper · pdf · doi:10.48550/arxiv.2203.12150

Abstract

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

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