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math.MG2018
Optimal transport maps on Alexandrov spaces revisited
Tapio Rajala, Timo Schultz
We give an alternative proof for the fact that in -dimensional Alexandrov spaces with curvature bounded below there exists a unique optimal transport plan from any purely $(n-1)…
math.FA2018
A density result for homogeneous Sobolev spaces on planar domains
Debanjan Nandi, Tapio Rajala, Timo Schultz
We show that in a bounded simply connected planar domain the smooth Sobolev functions are dense in the homogeneous Sobolev spaces …