Equivalence of ray monotonicity properties and classification of optimal transport maps for strictly convex norms
From MaRDI portal
Publication:2156033
DOI10.1515/acv-2019-0099zbMath1492.49042OpenAlexW3084197658MaRDI QIDQ2156033
Publication date: 15 July 2022
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/acv-2019-0099
Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30) Optimal transportation (49Q22)
Cites Work
- Full characterization of optimal transport plans for concave costs
- Optimal transportation for a quadratic cost with convex constraints and applications
- The Monge problem in \(\mathbb R^d\)
- The Monge problem for strictly convex norms in \(\mathbb R^d\)
- Absolute continuity and summability of transport densities: simpler proofs and new estimates
- Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
- Existence of optimal transport maps for crystalline norms
- Uniqueness and transport density in Monge's mass transportation problem
- Existence and uniqueness of monotone measure-preserving maps
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- Optimal transportation in \(\mathbb R^n\) for a distance cost with a convex constraint
- Constructing optimal maps for Monge’s transport problem as a limit of strictly convex costs
- Monge’s transport problem on a Riemannian manifold
- Monge's transport problem in the Heisenberg group
- The $\infty$-Wasserstein Distance: Local Solutions and Existence of Optimal Transport Maps
- Differential equations methods for the Monge-Kantorovich mass transfer problem
- Optimal Transport
- On the Monge mass transfer problem
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Equivalence of ray monotonicity properties and classification of optimal transport maps for strictly convex norms
