  In this paper we consider an optimal control problem for the coupled system
of a nonlinear monotone Dirichlet problem with anisotropic p-Laplacian and
matrix-valued nonsmooth controls in its coefficients and a nonlinear equation
of Hammerstein type. Using the direct method in calculus of variations, we
prove the existence of an optimal control in considered problem and provide
sensitivity analysis for a specific case of considered problem with respect to
two-parameter regularization.
