The profile of bubbling solutions of a class of fourth order geometric equations on 4-manifolds

Abstract

We study a class of fourth order geometric equations defined on a 4-dimensional compact Riemannian manifold which includes the Q-curvature equation. We obtain sharp estimates on the difference near the blow-up points between a bubbling sequence of solutions and the standard bubble.

References in corpus (3)

• Ambient metric construction of Q-curvature in conformal and CR geometries
• Conformal Metrics with Constant Q-Curvature
• Some Progress in Conformal Geometry

Cited by in corpus (6)

• Compactness of conformal metrics with constant $Q$-curvature. I
• Morse theory and the resonant Q-curvature problem
• Uniqueness of conformal metrics with constant Q-curvature on closed Einstein manifolds
• The resonant boundary $Q$-curvature problem and boundary-weighted barycenters
• The Nirenberg problem and its generalizations: A unified approach
• Variational theory for the resonant T-curvature equation