A Sobolev-like inequality for the Dirac operator
| dc.creator | Raulot, Simon | |
| dc.date | 2008-04-07 | |
| dc.date | 2008-11-12 | |
| dc.date.accessioned | 2026-07-07T12:50:07Z | |
| dc.date.available | 2026-07-07T12:50:07Z | |
| dc.description | In this article, we prove a Sobolev-like inequality for the Dirac operator on closed compact Riemannian spin manifolds with a nearly optimal Sobolev constant. As an application, we give a criterion for the existence of solutions to a nonlinear equation with critical Sobolev exponent involving the Dirac operator. We finally specify a case where this equation can be solved. | |
| dc.description | some typos corrected, the introduction has been rewritten and several references has been added, to appear in Journal of Functional Analysis | |
| dc.identifier | https://arxiv.org/abs/0804.1024 | |
| dc.identifier | http://arxiv.org/abs/0804.1024 | |
| dc.identifier | Journal of Functional Analysis 256, 5 (2009) 1588-1617 | |
| dc.identifier | doi:10.1016/j.jfa.2008.11.007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222591 | |
| dc.subject | Differential Geometry | |
| dc.title | A Sobolev-like inequality for the Dirac operator | |
| dc.type | text |