The semi-classical regime of standing wave solutions of a Schrödinger 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.
Cingolani, S., Secchi, S., Squassina, M. (2010). Semi-classical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS, 140(05), 973-1009 [10.1017/S0308210509000584].
Semi-classical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities
SECCHI, SIMONE;
2010
Abstract
The semi-classical regime of standing wave solutions of a Schrödinger 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.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
