On a fractional Nirenberg problem, part I: blow up analysis and compactness of solutions
Journal of the European Mathematical Society, Tome 16 (2014) no. 6, pp. 1111-1171.

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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.
DOI : 10.4171/jems/456
Classification : 35-XX, 00-XX, 53-XX
Keywords: Integro-differential equations, conformally invariant operators, blow up analysis
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     author = {Tianling Jin and YanYan Li and Jingang Xiong},
     title = {On a fractional {Nirenberg} problem, part {I:} blow up analysis and compactness of solutions},
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     pages = {1111--1171},
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Tianling Jin; YanYan Li; Jingang Xiong. On a fractional Nirenberg problem, part I: blow up analysis and compactness of solutions. Journal of the European Mathematical Society, Tome 16 (2014) no. 6, pp. 1111-1171. doi : 10.4171/jems/456. http://geodesic.mathdoc.fr/articles/10.4171/jems/456/

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