Communications in Mathematical Physics

, Volume 171, Issue 2, pp 323–350

Stationary states of the nonlinear Dirac equation: A variational approach


  • Maria J. Esteban
    • CEREMADE (URA CNRS 749)Université Paris-Dauphine
  • Eric Séré
    • CEREMADE (URA CNRS 749)Université Paris-Dauphine

DOI: 10.1007/BF02099273

Cite this article as:
Esteban, M.J. & Séré, E. Commun.Math. Phys. (1995) 171: 323. doi:10.1007/BF02099273


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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© Springer-Verlag 1995