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.
Semi-classical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities / Cingolani, Silvia; Secchi, S.; Squassina, M.. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - 140:5(2010), pp. 973-1009. [10.1017/S0308210509000584]
Semi-classical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities
CINGOLANI, Silvia;
2010-01-01
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
