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arXiv · 0903.5435

Semiclassical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities

Silvia Cingolani·Simone Secchi·Marco Squassina
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Abstract

The semi-classical regime of standing wave solutions of a Schrödinger equation in presence of non-constant electric and magnetic potentials is studied in the case of non-local nonlinearities of Hartree type. It is show 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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Silvia Cingolani, Simone Secchi, Marco Squassina. 2009-11-13. Semiclassical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities. https://arxiv.org/abs/0903.5435

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