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math.OC2021
Regularity Results for an Optimal Design Problem with lower order terms
Luca Esposito, Lorenzo Lamberti
We study the regularity of the interface for optimal energy configurations of functionals involving bulk energies with an additional perimeter penalization of the interface. It is…
math.OC2010★ 6 cited
The longest shortest fence and sharp Poincaré-Sobolev inequalities
L. Esposito, V. Ferone, B. Kawohl +2
We prove a long standing conjecture concerning the fencing problem in the plane: among planar convex sets of given area, prove that the disc, and only the disc maximizes the length…