About nontrivial solutions and bifurcation points of the Vlasov-Maxwell system (Q1385918)

The determination of the functions \(\varphi\) and \(\psi\), which generate the solutions of a Vlasov-Maxwell system, is reduced to a system of nonlinear elliptic equations with a parameter \(\lambda\). Then this system is considered in a bounded domain; for any \(\lambda\), this system has the trivial solution \((\varphi^0,\psi^0)\), which is associated with zero densities of the charge \(\rho\) and the current \(j\).