TY - JOUR
T1 - Compactness of solutions to some geometric fourth-order equations
JF - J. Reine Angew. Math. 594 (2006) 137-174
Y1 - 2006
A1 - Andrea Malchiodi
AB - 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.
UR - http://hdl.handle.net/1963/2126
U1 - 2117
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -