Semiclassical limit for Schrodinger equations with a magnetic field and Hartree-type nonlinearities

Marco Squassina, Silvia Cingolani, Simone Secchi

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

89 Citazioni (Scopus)

Abstract

The semi-classical regime of standing wave solutions of a Schr¨odinger equation in the presence of non-constant electric and magnetic potentials is studied in the case of non-local nonlinearities of Hartree type. It is shown that there exists a family of solutions having multiple concentration regions which are located around the minimum points of the electric potential.
Lingua originaleEnglish
pagine (da-a)973-1009
Numero di pagine37
RivistaPROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS
Volume140
Stato di pubblicazionePubblicato - 2010

Keywords

  • Semiclassical limits

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