Prescribing a fourth order conformal invariant on the standard sphere, Part II: blow-up analysis and applications
| dc.creator | Djadli, Zindine | |
| dc.creator | Malchiodi, Andrea | |
| dc.creator | Ahmedou, Mohameden Ould | |
| dc.date | 2001-04-08 | |
| dc.date | 2001-04-12 | |
| dc.date.accessioned | 2026-07-07T04:41:12Z | |
| dc.date.available | 2026-07-07T04:41:12Z | |
| dc.description | In this paper we perform a fine blow-up analysis for a fourth order elliptic equation involving critical Sobolev exponent, related to the prescription of some conformal invariant on the standard sphere. We derive from this analysis some a priori estimates in dimension 5 and 6. On the five dimensionl sphere these a priori estimates combined with the perturbation result of Part I allow us to obtain some existence results. On the six dimensional sphere we prove the existence of at least one solution when an associated index is different from zero. | |
| dc.identifier | https://arxiv.org/abs/math/0104091 | |
| dc.identifier | http://arxiv.org/abs/math/0104091 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61262 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C21; 35B45; 35J60; 53A30; 58G30 | |
| dc.title | Prescribing a fourth order conformal invariant on the standard sphere, Part II: blow-up analysis and applications | |
| dc.type | text |