Hylomorphic Vortices in Abelian Gauge Theories
| dc.creator | Benci, Vieri | |
| dc.creator | Fortunato, Donato | |
| dc.date | 2009-03-19 | |
| dc.date.accessioned | 2026-07-07T12:54:15Z | |
| dc.date.available | 2026-07-07T12:54:15Z | |
| dc.description | We consider an Abelian Gauge Theory in R4 equipped with the Minkowski metric. This theory leads to a system of equations, the Klein-Gordon- Maxwell equations, which provide models for the interaction between the electromagnetic field and matter. We assume that the nonlinear term is such that the energy functional is positive; this fact makes the theory more suitable for physical models. A three dimensional vortex is a finite energy, stationary solution of these equations such that the matter field has nontrivial angular momen- tum and the magnetic field looks like the field created by a finite solenoid. Under suitable assumptions, we prove the existence of three dimensional vortex-solutions. | |
| dc.identifier | https://arxiv.org/abs/0903.3322 | |
| dc.identifier | http://arxiv.org/abs/0903.3322 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223867 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 47J30 (primary), 35J50, 81V10 (secondary) | |
| dc.title | Hylomorphic Vortices in Abelian Gauge Theories | |
| dc.type | text |