Shape Optimization Problems with Internal Constraint

Dorin Bucur, Giuseppe Buttazzo, Bozhidar Velichkov

We consider shape optimization problems with internal inclusion constraints, of the form $$\min\big\{J(Ω)\ :\ \Dr\subsetΩ\subset\R^d,\ |Ω|=m\big\},$$ where the set $\Dr$ is fixed,…