We consider the standing wave solutions of the three dimensional semilinear Schrödinger 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.
Squassina, M., & Secchi, S. (2005). On the location of spikes for the Schrödinger equation with electromagnetic field. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 7(2), 251-268 [10.1142/S0219199705001738].
Citazione: | Squassina, M., & Secchi, S. (2005). On the location of spikes for the Schrödinger equation with electromagnetic field. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 7(2), 251-268 [10.1142/S0219199705001738]. | |
Tipo: | Articolo in rivista - Articolo scientifico | |
Carattere della pubblicazione: | Scientifica | |
Presenza di un coautore afferente ad Istituzioni straniere: | No | |
Titolo: | On the location of spikes for the Schrödinger equation with electromagnetic field | |
Autori: | Squassina, M; Secchi, S | |
Autori: | ||
Data di pubblicazione: | 2005 | |
Lingua: | English | |
Rivista: | COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1142/S0219199705001738 | |
Appare nelle tipologie: | 01 - Articolo su rivista |