On the location of spikes for the Schrodinger equation with electromagnetic field

Marco Squassina, Simone Secchi

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

14 Citazioni (Scopus)

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 originaleEnglish
pagine (da-a)251-268
Numero di pagine18
RivistaCommunications in Contemporary Mathematics
Volume7
Stato di pubblicazionePubblicato - 2005

Keywords

  • spike location

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