Compactness of solutions to some geometric fourth-order equations
| dc.creator | Malchiodi, Andrea | |
| dc.date | 2004-10-06 | |
| dc.date | 2005-01-20 | |
| dc.date.accessioned | 2026-07-07T05:12:56Z | |
| dc.date.available | 2026-07-07T05:12:56Z | |
| dc.description | 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. | |
| dc.description | 32 pages, fixed some bug in the previous version | |
| dc.identifier | https://arxiv.org/abs/math/0410140 | |
| dc.identifier | http://arxiv.org/abs/math/0410140 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72768 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35B33; 35J35; 53A30; 53C21 | |
| dc.title | Compactness of solutions to some geometric fourth-order equations | |
| dc.type | text |