Existence results for the fractional Nirenberg problem

Yan-Hong Chen; Chungen Liu; Youquan Zheng

Existence results for the fractional Nirenberg problem

Analysis of PDEs 2014-06-12 v1 Differential Geometry

Authors: Yan-Hong Chen , Chungen Liu , Youquan Zheng

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.

Keywords

fractional Nirenberg problem standard sphere critical points at infinity Euler-Hopf formula existence results curvature

Cite

@article{arxiv.1406.2770,
  title  = {Existence results for the fractional Nirenberg problem},
  author = {Yan-Hong Chen and Chungen Liu and Youquan Zheng},
  journal= {arXiv preprint arXiv:1406.2770},
  year   = {2014}
}

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