Boundedness of Palais-Smale sequences associated to a fourth-order equation in conformal geometry
نویسنده
چکیده
Under generic assumptions, we prove boundedness of Palais-Smale sequences relative to some geometric functional defined on H(M), where M is a four-dimensional manifold. Our analysis is useful to find critical points (via minimax arguments) of this functional, which give rise to conformal metrics of constant Q-curvature. The proof is based on a refined bubbling analysis, for which the main estimates are given in integral form. As a byproduct of our method, we also obtain compactness of metrics which have constant Q-curvature.
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