35 citations · 38 across the 15 of their papers we have counts for
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Shape optimization problems in control form
Giuseppe Buttazzo, Francesco Paolo Maiale, Bozhidar Velichkov
We consider a shape optimization problem written in the optimal control form: the governing operator is the -Laplacian in the Euclidean space , the cost is of an integral…
Optimal potentials for problems with changing sing data
Giuseppe Buttazzo, Faustino Maestre, Bozhidar Velichkov
We consider optimal control problems where the state equation is an elliptic PDE of a Schrödinger type, governed by the Laplace operator with the addition of a potential V, an…
On the honeycomb conjecture for a class of minimal convex partitions
Dorin Bucur, Ilaria Fragalà, Bozhidar Velichkov +1
We prove that the planar hexagonal honeycomb is asymptotically optimal for a large class of optimal partition problems, in which the cells are assumed to be convex, and the criteri…
A Multiphase Shape Optimization Problem for Eigenvalues: Qualitative Study and Numerical Results
Beniamin Bogosel, Bozhidar Velichkov
We consider the multiphase shape optimization problem where is a giv…
Worst-case shape optimization for the Dirichlet energy
José Carlos Bellido, Giuseppe Buttazzo, Bozhidar Velichkov
We consider the optimization problem for a shape cost functional which depends on a domain varying in a suitable admissible class and on a "right-hand side" . More…
A free boundary problem arising in PDE optimization
Giuseppe Buttazzo, Edouard Oudet, Bozhidar Velichkov
A free boundary problem arising from the optimal reinforcement of a membrane or from the reduction of traffic congestion is considered; it is of the form $$\sup_{\int_Dθ\,dx=m}\ \i…