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 S.
;
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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/206254
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