Multiplicity of standing wave solutions of nonlinear Schrödinger equations with electromagnetic fields

DOI10.1007/s00033-007-7032-8zbMath1158.35426OpenAlexW1980411504MaRDI QIDQ1001478

Zhongwei Tang

Publication date: 17 February 2009

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-007-7032-8

zbMATH Keywords

multiplicitymagnetic fieldsnonlinear Schrödinger equationvariational methodspotential well

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Electromagnetic theory (general) (78A25) Variational methods applied to problems in optics and electromagnetic theory (78M30)

Related Items (6)

Multi-bump solutions to a nonlinear Schrödinger equation with steep magnetic wells ⋮ The use of the Morse theory to estimate the number of nontrivial solutions of a nonlinear Schrödinger equation with a magnetic field ⋮ Nonlinear Schrödinger equations with steep magnetic well ⋮ Infinitely many solutions for nonlinear Schrödinger equations with electromagnetic fields ⋮ Concentration on curves for a nonlinear Schrödinger problem with electromagnetic potential ⋮ Multi-bump bound states of nonlinear Schrödinger equations with electromagnetic fields and critical frequency

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