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 field B. 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, the spikes locate at the critical points of a smooth ground energy map independent of B.
|Numero di pagine||18|
|Rivista||Communications in Contemporary Mathematics|
|Stato di pubblicazione||Pubblicato - 2005|
- spike location