I will introduce our recent investigation on existence and qualitative properties of ground state solutions for the nonlocal Born-Infeld-Choquard problem. The equation is driven by the mean curvature operator in Lorentz-Minkowski space, motivated by the Born-Infeld nonlinear electromagnetic theory, and is coupled with a Choquard-type nonlocal nonlinearity. Due to the inherent relativistic gradient constraint, the associated energy functional lacks standard C^1 regularity, preventing the direct use of classical variational techniques. We employ a non-smooth critical point theory on an appropriate Pohožaev-type manifold to establish the existence of ground state solutions. We further demonstrate that these solutions are radially symmetric and monotonously decay to zero at infinity.