School of Mathematical & Statistical Sciences Faculty Publications and Presentations

Document Type

Article

Publication Date

9-25-2025

Abstract

We study standing waves of the Schrödinger equation with constant magnetic field and combined power nonlinearities, which describes a single non-relativistic quantum particle in the presence of an electromagnetic field. We develop the local minima geometry method to establish the existence, estimates and mass collapse results for this equation, which generalize exiting results in the literature.

Comments

© 2025 The Author(s). Bulletin of the London Mathematical Society is copyright © London Mathematical Society.

This is an open access article under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.

Publication Title

Bulletin of the London Mathematical Society

DOI

10.1112/blms.70199

Included in

Mathematics Commons

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