Dirichlet and Neumann problems for Klein-Gordon-Maxwell systems
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math-phmath.MP
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dirichletboundaryconditionsfieldklein-gordon-maxwellneumannboundeddeals
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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.
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