NUMERICAL APPROXIMATION OF OPTIMIZATION PROBLEMS WITH L∞∞∞∞ FUNCTIONALS

Abstract

We consider a minimization problem which generalizes the problems of optimal lipschitz (extensión to the domain Ω of the functions tha verify the restrictions u = g on ∂Ω). This work deals with the numerical approximations of the problem. Our work includes a numerical procedure for solving the discrete problem, the proof of convergence of the discrete solutions to the solution of the continuous problem and a numerical example that shows the efficiency of the procedure.