Existence of conformal metrics with constant $Q$-curvature
| dc.creator | Djadli, Zindine | |
| dc.creator | Malchiodi, Andrea | |
| dc.date | 2004-10-06 | |
| dc.date | 2006-04-18 | |
| dc.date.accessioned | 2026-07-07T06:38:53Z | |
| dc.date.available | 2026-07-07T06:38:53Z | |
| dc.description | Given a compact four dimensional manifold, we prove existence of conformal metrics with constant $Q$-curvature under generic assumptions. The problem amounts to solving a fourth-order nonlinear elliptic equation with variational structure. Since the corresponding Euler functional is in general unbounded from above and from below, we employ topological methods and minimax schemes, jointly with a compactness result by the second author. | |
| dc.description | 36 pages, revised version. To appear in Annals of Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0410141 | |
| dc.identifier | http://arxiv.org/abs/math/0410141 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100899 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35B33; 35J35; 53A30; 53C21 | |
| dc.title | Existence of conformal metrics with constant $Q$-curvature | |
| dc.type | text |