Solutions of super linear Dirac equations with general potentials

DOI10.1007/s12591-009-0018-6zbMath1242.47055OpenAlexW2133889128MaRDI QIDQ609407

Jian Ding, Fubao Zhang, Junxiang Xu

Publication date: 30 November 2010

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-009-0018-6

zbMATH Keywords

linkingDirac equationsCoulomb-type potential\((C)c\)-conditionsuperlinear Dirac equation

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (2)

Darboux transformations for super-Schrödinger equation, super-Dirac equation and their exact solutions ⋮ Linear and nonlinear eigenvalue problems for Dirac systems in unbounded domains

Cites Work

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• Existence of standing waves for Dirac fields with singular nonlinearities
• Deformation theorems on non-metrizable vector spaces and applications to critical point theory
• STATIONARY STATES OF NONLINEAR DIRAC EQUATIONS WITH GENERAL POTENTIALS
• MULTIPLE HOMOCLINICS IN A HAMILTONIAN SYSTEM WITH ASYMPTOTICALLY OR SUPER LINEAR TERMS

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