Lectures on the fourth order Q curvature equation

Abstract

We discuss some open problems and recent progress related to the 4th order Paneitz operator and Q curvature in dimensions other than 4.

References updated. Typos corrected

References in corpus (4)

• A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary)
• Sign of Green's function of Paneitz operators and the Q curvature
• Asymptotic analysis for fourth order Paneitz equations with critical growth
• Compactness of conformal metrics with constant $Q$-curvature. I

Cited by in corpus (4)

• Classification of positive solutions to a nonlinear biharmonic equation with critical exponent
• GJMS-type Operators on a compact Riemannian manifold: Best constants and Coron-type solutions
• Constant Q-curvature metrics with Delaunay ends: the nondegenerate case
• Compactness within the space of complete, constant Q-curvature metrics on the sphere with isolated singularities