Q-Curvature on a Class of Manifolds with Dimension at Least 5

Fengbo Hang, Paul C. Yang

Research output: Contribution to journalArticlepeer-review

38 Scopus citations


For a smooth compact Riemannian manifold with positive Yamabe invariant, positive Q-curvature, and dimension at least 5, we prove the existence of a conformal metric with constant Q-curvature. Our approach is based on the study of an extremal problem for a new functional involving the Paneitz operator.

Original languageEnglish (US)
Pages (from-to)1452-1491
Number of pages40
JournalCommunications on Pure and Applied Mathematics
Issue number8
StatePublished - Aug 1 2016

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


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