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

Tianling Jin; YanYan Li; Jingang Xiong

doi:10.4171/jems/456

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
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YanYan Li
Rutgers University, Piscataway, United States
Jingang Xiong
Beijing Normal University, China

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

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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