@article {2006,
title = {Compactness of solutions to some geometric fourth-order equations},
journal = {J. Reine Angew. Math. 594 (2006) 137-174},
number = {arXiv.org;math/0410140v2},
year = {2006},
abstract = {We prove compactness of solutions to some fourth order equations with exponential nonlinearities on four manifolds. The proof is based on a refined bubbling analysis, for which the main estimates are given in integral form. Our result is used in a subsequent paper to find critical points (via minimax arguments) of some geometric functional, which give rise to conformal metrics of constant $Q$-curvature. As a byproduct of our method, we also obtain compactness of such metrics.},
doi = {10.1515/CRELLE.2006.038},
url = {http://hdl.handle.net/1963/2126},
author = {Andrea Malchiodi}
}