2 papers
math.AP2026
Solutions to Monge-Ampère Equations with Low Codimensional singularities
Arghya Rakshit, Aranya Sen
We construct solutions to Monge-Ampère equations whose Monge-Ampère measures contain singular components supported on low codimensional sets. We also study the regularity of such…
math.AP2025
Pointwise Schauder estimates for optimal transport maps of rough densities
Arghya Rakshit
We prove a pointwise estimate for the potential of the optimal transport map in the case that the densities are only close to constant in a certain sense.