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

2014Journal of the European Mathematical Society引用 276顶会
Nonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringNonlinear Differential Equations Analysis

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.