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

被引：200
作者：
Jin, Tianling [1 ]
Li, YanYan [1 ]
Xiong, Jingang [2 ]
机构：
[1] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA
[2] Beijing Normal Univ, LMCS, Sch Math Sci, Minist Educ, Beijing 100875, Peoples R China
来源：
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2014年 / 16卷 / 06期
基金：
美国国家科学基金会;
关键词：
Integro-differential equations; conformally invariant operators; blow up analysis; PRESCRIBING SCALAR CURVATURE; 4TH-ORDER CONFORMAL INVARIANT; HARNACK-TYPE INEQUALITIES; S-N; POSITIVE SOLUTIONS; ELLIPTIC-EQUATIONS; PERTURBATION RESULT; SHARP INEQUALITIES; GAUSSIAN CURVATURE; STANDARD SPHERE;
D O I：
10.4171/JEMS/456
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：1111 / 1171
页数：61
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