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.
|Numero di pagine||37|
|Rivista||PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS|
|Stato di pubblicazione||Pubblicato - 2010|
- Semiclassical limits