Multiple solutions for a class of nonperiodic Dirac equations with vector potentials

DOI10.1016/j.na.2012.05.006zbMath1253.81059OpenAlexW2087160213MaRDI QIDQ450597

Wenping Qin, Fukun Zhao, Jian Zhang

Publication date: 13 September 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.05.006

zbMATH Keywords

strongly indefinite functionalsDirac equationvariational method

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) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Variational principles of physics (49S05)

Related Items (10)

Existence of ground states solutions for Dirac-Poisson systems ⋮ On nonlinear Dirac equations ⋮ Multiplicity of solutions for asymptotically quadratic Dirac-Poisson system with non-periodic potential ⋮ Existence and multiplicity of stationary solutions for a class of Maxwell-Dirac system ⋮ Existence and exponential decay of ground-state solutions for a nonlinear Dirac equation ⋮ Ground state solutions for nonperiodic Dirac equation with superquadratic nonlinearity ⋮ Standing wave solutions of Maxwell-Dirac systems ⋮ Stationary solutions for a superlinear Dirac equation ⋮ Ground states for nonlinear Maxwell-Dirac system with magnetic field ⋮ Infinitely many large energy solutions for superlinear Dirac equations

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