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We study the Landau-Lifshitz system associated with Maxwell equations in abilayered ferromagnetic body when super-exchange and surface anisotropyinteractions are present in the spacer in-between the layers. In the presenceof these surface energies, the Neumann boundary condition becomes nonlinear. Weprove, in three dimensions, the existence of global weak solutions to theLandau-Lifshitz-Maxwell system with nonlinear Neumann boundary conditions.

Weak solutions to the Landau-Lifshitz-Maxwell system with nonlinear Neumann boundary conditions arising from surface energie