Concentrations for nonlinear Schrödinger equations with magnetic potentials and constant electric potentials

Abstract

This article studies point concentration phenomena of nonlinear Schrödinger equations with magnetic potentials and constant electric potentials. The existing results show that a common magnetic field has no effect on the locations of point concentrations, as long as the electric potential is not a constant. This article finds out the role of the magnetic fields in the locations of point concentrations when the electric potential is a constant.

Keywords

• magnetic schrödinger equations
• concentrations
• constant electric potentials
• 35j10
• 35a01
• 35b25