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 language||English (US)|
|Number of pages||40|
|Journal||Communications on Pure and Applied Mathematics|
|State||Published - Aug 1 2016|
All Science Journal Classification (ASJC) codes
- Applied Mathematics