On nonlinear Dirac equations

DOI10.1063/1.5053684zbMath1410.35155OpenAlexW2914250084MaRDI QIDQ4621240

Abderrazek Benhassine

Publication date: 11 February 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5053684

zbMATH Keywords

existencemultiplicity of solutionsvariational approachnonlinear Dirac equationsuperquadratic as asymptotically quadratic nonlinearities

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Electromagnetic interaction; quantum electrodynamics (81V10) NLS equations (nonlinear Schrödinger equations) (35Q55) Spinor and twistor methods applied to problems in quantum theory (81R25) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (3)

Existence of ground states solutions for Dirac-Poisson systems ⋮ On semiclassical states for Dirac equations ⋮ Standing wave solutions of Maxwell-Dirac systems

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