  The time evolution of a collisionless plasma is modeled by the relativistic
Vlasov-Maxwell system which couples the Vlasov equation (the transport
equation) with the Maxwell equations of electrodynamics. In this work, the
setting is two and one-half dimensional, that is, the distribution functions of
the particles species are independent of the third space dimension. We consider
the case that the plasma is located in an infinitely long cylinder and is
influenced by an external magnetic field. We prove existence of stationary
solutions and give conditions on the external magnetic field under which the
plasma is confined inside the cylinder, i.e., it stays away from the boundary
of the cylinder.
