Compactness of solutions to the Yamabe problem. III

Yan Yan Li, Lei Zhang

Research output: Contribution to journalArticlepeer-review

54 Scopus citations


For a sequence of blow up solutions of the Yamabe equation on non-locally conformally flat compact Riemannian manifolds of dimension 10 or 11, we establish sharp estimates on its asymptotic profile near blow up points as well as sharp decay estimates of the Weyl tensor and its covariant derivatives at blow up points. If the Positive Mass Theorem held in dimensions 10 and 11, these estimates would imply the compactness of the set of solutions of the Yamabe equation on such manifolds.

Original languageEnglish (US)
Pages (from-to)438-474
Number of pages37
JournalJournal of Functional Analysis
Issue number2
StatePublished - Apr 15 2007

All Science Journal Classification (ASJC) codes

  • Analysis


  • Compactness of solutions
  • Yamabe problem


Dive into the research topics of 'Compactness of solutions to the Yamabe problem. III'. Together they form a unique fingerprint.

Cite this