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math.AP2011
Shape flows for spectral optimization problems
Dorin Bucur, Giuseppe Buttazzo, Ulisse Stefanelli
We consider a general formulation of gradient flow evolution for problems whose natural framework is the one of metric spaces. The applications we deal with are concerned with the…
math.AP2011★ 3 cited
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,…