On a fractional Nirenberg problem. Part I: Blow up analysis and compactness of solutions

Jin, Tianling, Li, Yan Yan, and Xiong, Jingang. "On a fractional Nirenberg problem. Part I: Blow up analysis and compactness of solutions." Journal of the European Mathematical Society 016.6 (2014): 1111-1171. <http://eudml.org/doc/277437>.

@article{Jin2014,
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.},
author = {Jin, Tianling, Li, Yan Yan, Xiong, Jingang},
journal = {Journal of the European Mathematical Society},
keywords = {integro-differential equations; conformally invariant operators; blow up analysis; Nirenberg problem; fractional Laplace operator; Laplace-Beltrami operator; scalar curvature; conformal metric; existence of solution; intertwining operator; degenerate elliptic equation; Nirenberg problem; fractional Laplace operator; Laplace-Beltrami operator; scalar curvature; conformal metric; existence of solution; intertwining operator; degenerate elliptic equation},
language = {eng},
number = {6},
pages = {1111-1171},
publisher = {European Mathematical Society Publishing House},
title = {On a fractional Nirenberg problem. Part I: Blow up analysis and compactness of solutions},
url = {http://eudml.org/doc/277437},
volume = {016},
year = {2014},
}

TY - JOUR
AU - Jin, Tianling
AU - Li, Yan Yan
AU - Xiong, Jingang
TI - On a fractional Nirenberg problem. Part I: Blow up analysis and compactness of solutions
JO - Journal of the European Mathematical Society
PY - 2014
PB - European Mathematical Society Publishing House
VL - 016
IS - 6
SP - 1111
EP - 1171
AB - 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.
LA - eng
KW - integro-differential equations; conformally invariant operators; blow up analysis; Nirenberg problem; fractional Laplace operator; Laplace-Beltrami operator; scalar curvature; conformal metric; existence of solution; intertwining operator; degenerate elliptic equation; Nirenberg problem; fractional Laplace operator; Laplace-Beltrami operator; scalar curvature; conformal metric; existence of solution; intertwining operator; degenerate elliptic equation
UR - http://eudml.org/doc/277437
ER -