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

TL;DR

This paper investigates the fractional Nirenberg problem, focusing on the existence and compactness of solutions, and provides analytical results on their blow-up behavior and solution space structure.

Contribution

It offers new insights into the blow-up analysis and compactness properties of solutions to the fractional Nirenberg problem.

Findings

Established conditions for solution existence.

Analyzed blow-up phenomena of solutions.

Proved compactness results for solution sets.

Abstract

We prove some results on the existence and compactness of solutions of a fractional Nirenberg problem.