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

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

2008-10-27

arxiv.org/abs/0810.4879v1

Journal of Functional Analysis, Volume 257, Issue 12, 15 December 2009, Pages 3895-3929

Mathematics

Differential Geometry

Scientific paper

10.1016/j.jfa.2009.09.006

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.

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