A free boundary problem arising in PDE optimization

G Buttazzo, E Oudet, B Velichkov - Calculus of Variations and Partial …, 2015 - Springer
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 _ ∫ _D θ\, dx= m\inf _ u ∈ H …

Optimal reinforcing networks for elastic membranes

G Alberti, G Buttazzo, SGL Bianco, É Oudet - arXiv preprint arXiv …, 2019 - arxiv.org
In this paper we study the optimal reinforcement of an elastic membrane, fixed at its
boundary, by means of a network (connected onedimensional structure), that has to be …

Optimal free export/import regions

S Dweik - Canadian Mathematical Bulletin, 2021 - cambridge.org
We consider the problem of finding two free export/import sets and that minimize the total
cost of some export/import transportation problem (with export/import taxes), between two …