ar X iv : 0 81 2 . 30 09 v 1 [ m at h . A P ] 1 6 D ec 2 00 8 Dirichlet and Neumann problems for Klein - Gordon - Maxwell systems ∗
نویسندگان
چکیده
This paper deals with the Klein-Gordon-Maxwell system in a bounded spatial domain. We study the existence of solutions having a specific form, namely standing waves in equilibrium with a purely electrostatic field. We prescribe Dirichlet boundary conditions on the matter field, and either Dirichlet or Neumann boundary conditions on the electric potential. MSC2000: 35J55, 35J65, 35J50, 35Q40, 35Q60.
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