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arXiv · 1406.2770

Existence results for the fractional Nirenberg problem

Yan-Hong Chen·Chungen Liu·Youquan Zheng
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Abstract

We consider the fractional Nirenberg problem on the standard sphere $\mathbb{S}^n$ with $n\geq 4$. Using the theory of critical points at infinity, we establish an Euler-Hopf type formula and obtain some existence results for curvature satisfying assumptions of Bahri-Coron type.

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Yan-Hong Chen, Chungen Liu, Youquan Zheng. 2014-06-11. Existence results for the fractional Nirenberg problem. https://arxiv.org/abs/1406.2770

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