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.
Secchi, S., Squassina, M., On the location of spikes for the Schrodinger equation with electromagnetic field, <<COMMUNICATIONS IN CONTEMPORARY MATHEMATICS>>, 2005; 7 (N/A): 251-268 [http://hdl.handle.net/10807/91014]
Autori: | ||
Titolo: | On the location of spikes for the Schrodinger equation with electromagnetic field | |
Data di pubblicazione: | 2005 | |
Abstract: | 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. | |
Lingua: | Inglese | |
Rivista: | ||
Citazione: | Secchi, S., Squassina, M., On the location of spikes for the Schrodinger equation with electromagnetic field, <<COMMUNICATIONS IN CONTEMPORARY MATHEMATICS>>, 2005; 7 (N/A): 251-268 [http://hdl.handle.net/10807/91014] | |
Appare nelle tipologie: | Articolo in rivista, Nota a sentenza |