A perturbation result for the $Q_{gamma}$ curvature problem on ${\mathbb{S}}^n$

Abstract

We consider the problem of prescribing the $Q_{gamma}$ curvature on ${\mathbb{S}}^n$. Using a perturbation method, we obtain existence results for curvatures close to a positive constant.

References in corpus (2)

• A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary)
• On a fractional Nirenberg problem, part I: blow up analysis and compactness of solutions