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

Tianling Jin, Yan Yan Li, Jingang Xiong

Research output: Contribution to journalArticlepeer-review

132 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)1111-1171
Number of pages61
JournalJournal of the European Mathematical Society
Volume16
Issue number6
DOIs
StatePublished - 2014

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Keywords

  • Blow up analysis
  • Conformally invariant operators
  • Integro-differential equations

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