On the location of spikes for the Schrodinger equation with electromagnetic field
| dc.creator | Secchi, Simone | |
| dc.creator | Squassina, Marco | |
| dc.date | 2004-02-16 | |
| dc.date | 2004-08-31 | |
| dc.date.accessioned | 2026-07-07T05:05:29Z | |
| dc.date.available | 2026-07-07T05:05:29Z | |
| dc.description | We consider the standing wave solutions of the three dimensional semilinear Schrodinger equation with competing potential functions $V$ and $K$ and under the action of an external electromagnetic vector field $A$. We establish some necessary conditions for a sequence of such solutions to concentrate, in two different senses, around a given point. In the particular but important case of nonlinearities of power type, we prove that the spikes locate at the critical points of a smooth ground energy map independent of $A$. | |
| dc.description | Final revision, accepted for publication | |
| dc.identifier | https://arxiv.org/abs/math/0402253 | |
| dc.identifier | http://arxiv.org/abs/math/0402253 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70183 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35J65, 35Q40, 35Q55, 83C50 | |
| dc.title | On the location of spikes for the Schrodinger equation with electromagnetic field | |
| dc.type | text |