On a fractional Nirenberg problem, part I: blow up analysis and compactness of solutions
Tianling Jin
Rutgers University, Piscataway, USAYanYan Li
Rutgers University, Piscataway, United StatesJingang Xiong
Beijing Normal University, China
Abstract
We prove some results on the existence and compactness of solutions of a fractional Nirenberg problem. The crucial ingredients of our proofs are the understanding of the blow up profiles and a Liouville theorem.
Cite this article
Tianling Jin, YanYan Li, Jingang Xiong, On a fractional Nirenberg problem, part I: blow up analysis and compactness of solutions. J. Eur. Math. Soc. 16 (2014), no. 6, pp. 1111–1171
DOI 10.4171/JEMS/456