Minimization of the Compliance under a Nonlocal p-Laplacian Constraint

This work is an extension of the paper by Cea and Malanowski to nonlocal nonlinear framework. The addressed topic study optimal control problem driven a p-Laplacian equation that includes coefficient playing role in optimization problem. cost functional compliance, constraint on states are Dirichlet homogeneous type. goal present numerical scheme for its use approximate solutions local setting. main contributions maximum principle uniqueness result. These findings monotonicity properties operator have been crucial building effective scheme, which, at same time, has provided existence designs. Several simulations complete work.