ON THE LOCATION OF SPIKES FOR THE SCHRÖDINGER EQUATION WITH ELECTROMAGNETIC FIELD

DOI10.1142/S0219199705001738zbMath1157.35482arXivmath/0402253MaRDI QIDQ3023930

Marco Squassina, Simone Secchi

Publication date: 6 July 2005

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402253

zbMATH Keywords

electromagnetic fieldsemi-classical limitleast energy solutionsClarke's subdifferentialNonlinear Schrödinger equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (12)

The nonexistence of vortices for rotating Bose-Einstein condensates with attractive interactions ⋮ Existence and multiplicity of solutions for nonlinear Schrödinger equations with magnetic field and Hartree type nonlinearities ⋮ Properties of ground states of nonlinear Schrödinger equations under a weak constant magnetic field ⋮ A multiplicity result for singular NLS equations with magnetic potentials ⋮ Nonlinear Schrödinger equation: concentration on circles driven by an external magnetic field ⋮ On concentration of least energy solutions for magnetic critical Choquard equations ⋮ A note on Schrödinger-Newton systems with decaying electric potential ⋮ Multi-peak solutions for magnetic NLS equations without non-degeneracy conditions ⋮ Soliton dynamics for the nonlinear Schrödinger equation with magnetic field ⋮ Concentrations for nonlinear Schrödinger equations with magnetic potentials and constant electric potentials ⋮ Semiclassical stationary states for nonlinear Schrödinger equations under a strong external magnetic field ⋮ Semiclassical states for NLS equations with magnetic potentials having polynomial growths

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