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

Tianling Jin; Yan Yan Li; Jingang Xiong

Journal of the European Mathematical Society (2014)

- Volume: 016, Issue: 6, page 1111-1171
- ISSN: 1435-9855

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topJin, 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 -

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