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math.AP2026
Sharp upper bound for a branched transport problem coming from Ginzburg-Landau models
Alessandro Cosenza, Michael Goldman, Felix Otto
We consider a branched transport type problem with weakly imposed boundary conditions, which can be seen as a blown-up version of a reduced model for type-I superconductors in the…
math.AP2023
Almost sharp rates of convergence for the average cost and displacement in the optimal matching problem
Michael Goldman, Martin Huesmann, Felix Otto
In this note we prove estimates for the average cost in the quadratic optimal transport problem on the two-dimensional flat torus which are optimal up to a double logarithm. We als…
math.AP2017★ 9 cited
A variational proof of partial regularity for optimal transportation maps
Michael Goldman, F Otto
We provide a new proof of the known partial regularity result for the optimal transportation map (Brenier map) between two sets. Contrary to the existing regularity theory for the…