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math.AP2023
Non-convex functionals penalizing simultaneous oscillations along two independent directions: structure of the defect measure
Michael Goldman, Benoît Merlet
We continue the analysis of a family of energies penalizing oscillations in oblique directions: they apply to functions with and vanish when $…
math.AP2023
An exterior optimal transport problem
Jules Candau-Tilh, Michael Goldman, Benoît Merlet
This paper deals with a variant of the optimal transportation problem. Given f L 1 (R d , [0, 1]) and a cost function c C(R d x R d) of the form c(x, y) = k(y -- x), we…