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

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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.

Original languageEnglish
Pages (from-to)574-593
Number of pages20
JournalAdvanced Nonlinear Studies
Volume22
Issue number1
DOIs
StatePublished - 1 Jan 2022

Keywords

  • concentrations
  • constant electric potentials
  • magnetic Schrödinger equations

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