Existence results for the fractional Nirenberg problem

preprint2014arXivOpen access

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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Existence results for the fractional Nirenberg problem

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