206 citations · 394 across the 45 of their papers we have counts for
6 papers · 1 filter
A density result on Orlicz-Sobolev spaces in the plane
Walter A. Ortiz, Tapio Rajala
We show the density of smooth Sobolev functions in the Orlicz-Sobolev spaces for bounded simply connected planar domains and doub…
Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces
Augusto Gerolin, Anna Kausamo, Tapio Rajala
In this paper we extend the duality theory of the multi-marginal optimal transport problem for cost functions depending on a decreasing function of the distance (not necessarily bo…
Non-existence of optimal transport maps for the multi-marginal repulsive harmonic cost
Augusto Gerolin, Anna Kausamo, Tapio Rajala
We give an example of an absolutely continuous measure on , for any , such that no minimizer of the -marginal harmonic repulsive cost with all marginal…
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)…
Restricting open surjections
Jesus A. Jaramillo, Enrico Le Donne, Tapio Rajala
We show that any continuous open surjection from a complete metric space to another metric space can be restricted to a surjection for which the domain has the same density charact…
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 …