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math.OC2010
The Cheeger constant of curved strips
David Krejcirik, Aldo Pratelli
We study the Cheeger constant and Cheeger set for domains obtained as strip-like neighbourhoods of curves in the plane. If the reference curve is complete and finite (a "curved ann…
math.OC2010★ 1 cited
Duality for rectified Cost Functions
Mathias Beiglboeck, Aldo Pratelli
It is well-known that duality in the Monge-Kantorovich transport problem holds true provided that the cost function is lower semi-continuous or finitely…