JournalsjemsVol. 16, No. 6pp. 1111–1171

On a fractional Nirenberg problem, part I: blow up analysis and compactness of solutions

  • Tianling Jin

    Rutgers University, Piscataway, USA
  • YanYan Li

    Rutgers University, Piscataway, United States
  • Jingang Xiong

    Beijing Normal University, China
On a fractional Nirenberg problem, part I: blow up analysis and compactness of solutions cover

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