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
Voir la notice de l'article provenant de la source EMS Press
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.
Classification :
35-XX, 00-XX, 53-XX
Keywords: Integro-differential equations, conformally invariant operators, blow up analysis
Keywords: Integro-differential equations, conformally invariant operators, blow up analysis
@article{JEMS_2014_16_6_a0,
author = {Tianling Jin and YanYan Li and Jingang Xiong},
title = {On a fractional {Nirenberg} problem, part {I:} blow up analysis and compactness of solutions},
journal = {Journal of the European Mathematical Society},
pages = {1111--1171},
publisher = {mathdoc},
volume = {16},
number = {6},
year = {2014},
doi = {10.4171/jems/456},
url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/456/}
}
TY - JOUR AU - Tianling Jin AU - YanYan Li AU - Jingang Xiong TI - On a fractional Nirenberg problem, part I: blow up analysis and compactness of solutions JO - Journal of the European Mathematical Society PY - 2014 SP - 1111 EP - 1171 VL - 16 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4171/jems/456/ DO - 10.4171/jems/456 ID - JEMS_2014_16_6_a0 ER -
%0 Journal Article %A Tianling Jin %A YanYan Li %A Jingang Xiong %T On a fractional Nirenberg problem, part I: blow up analysis and compactness of solutions %J Journal of the European Mathematical Society %D 2014 %P 1111-1171 %V 16 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4171/jems/456/ %R 10.4171/jems/456 %F JEMS_2014_16_6_a0
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
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