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.
2010
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/2473
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