Periodic solutions of an asymptotically linear Dirac equation.(English)Zbl 1368.35228

The paper addresses stationary solutions of a nonlinear Dirac equation in the three-dimensional space, including a potential term. By means of the variational methods and analysis of solutions around critical points, the existence of such spatially periodic solutions and their multiplicity are established.

MSC:

 35Q40 PDEs in connection with quantum mechanics 35B10 Periodic solutions to PDEs 35A15 Variational methods applied to PDEs
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References:

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