  It is shown that nonlinear electrodynamics of the Born--Infeld theory type
may be exploited to shed insight into a few fundamental problems in theoretical
physics, including rendering electromagnetic asymmetry to energetically exclude
magnetic monopoles, achieving finite electromagnetic energy to relegate
curvature singularities of charged black holes, and providing theoretical
interpretation of equations of state of cosmic fluids via k-essence cosmology.
Also discussed are some nonlinear differential equation problems.
