A note on some Poincaré inequalities on convex sets by Optimal Transport methods
Brasco, Lorenzo · Santambrogio, Filippo
Original · EN
We show that a class of Poincaré-Wirtinger inequalities on bounded convex sets can be obtained by means of the dynamical formulation of Optimal Transport. This is a consequence of a more general result valid for convex sets, possibly unbounded.
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