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math.AP2019
Optimal reinforcing networks for elastic membranes
Giovanni Alberti, Giuseppe Buttazzo, Serena Guarino Lo Bianco +1
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 found in…
math.OC2019
Variational approximation of functionals defined on -dimensional connected sets in
Mauro Bonafini, Giandomenico Orlandi, Edouard Oudet
In this paper we consider the Euclidean Steiner tree problem and, more generally, (single sink) Gilbert--Steiner problems as prototypical examples of variational problems involving…