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Stationary states of the nonlinear Dirac equation: A variational approach

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In this paper we prove the existence of stationary solutions of some nonlinear Dirac equations. We do it by using a general variational technique. This enables us to consider nonlinearities which are not necessarily compatible with symmetry reductions.

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Communicated by M. Herman

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Esteban, M.J., Séré, E. Stationary states of the nonlinear Dirac equation: A variational approach. Commun.Math. Phys. 171, 323–350 (1995). https://doi.org/10.1007/BF02099273

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