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arXiv · 2203.12150

New existence results for prescribed fractional $Q$-curvatures problem on $\mathbb{S}^n$ under pinching conditions

Zhongwei Tang·Ning Zhou
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Abstract

In this paper we study the prescribed fractional $Q$-curvatures problem of order $2 \sigma$ on the $n$-dimensional standard sphere $(\mathbb{S}^{n}, g_0)$, where $n\geq3$, $\sigma\in(0,\frac{n-2}{2})$. By combining critical points at infinity approach with Morse theory we obtain new existence results under suitable pinching conditions.

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Zhongwei Tang, Ning Zhou. 2022-03-23. New existence results for prescribed fractional $Q$-curvatures problem on $\mathbb{S}^n$ under pinching conditions. https://arxiv.org/abs/2203.12150

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