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handle: 11588/906094 , 11697/217219
We prove the existence of a stationary solution for the system describing the interaction between an electron coupled with a massless scalar field (a photon). We find a solution, with fixed L^2 -norm, by variational methods, as a critical point of an energy functional.
Klein Gordon-Dirac, Critical point theory, Min-Max methods, Nonlinear eigenvalue, Mathematics - Analysis of PDEs, Critical point theory, FOS: Mathematics, Klein-Gordon-Dirac; critical point theory; min-max methods, Klein Gordon-Dirac, Min-Max methods, Nonlinear eigenvalue, Analysis of PDEs (math.AP)
Klein Gordon-Dirac, Critical point theory, Min-Max methods, Nonlinear eigenvalue, Mathematics - Analysis of PDEs, Critical point theory, FOS: Mathematics, Klein-Gordon-Dirac; critical point theory; min-max methods, Klein Gordon-Dirac, Min-Max methods, Nonlinear eigenvalue, Analysis of PDEs (math.AP)
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