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math.AP2020★ 1 cited
Cut locus on compact manifolds and uniform semiconcavity estimates for a variational inequality
François Générau, Edouard Oudet, Bozhidar Velichkov
We study a family of gradient obstacle problems on a compact Riemannian manifold. We prove that the solutions of these free boundary problems are uniformly semiconcave and, as a co…
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…