%0 Journal Article
%J J. Reine Angew. Math. 594 (2006) 137-174
%D 2006
%T Compactness of solutions to some geometric fourth-order equations
%A Andrea Malchiodi
%X 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.
%B J. Reine Angew. Math. 594 (2006) 137-174
%G en_US
%U http://hdl.handle.net/1963/2126
%1 2117
%2 Mathematics
%3 Functional Analysis and Applications
%$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2007-09-18T08:13:05Z\\nNo. of bitstreams: 1\\n0410140v2.pdf: 335757 bytes, checksum: 30341fcdac6b4d8f187b4bab1191c993 (MD5)
%R 10.1515/CRELLE.2006.038