On c-cyclical monotonicity for optimal transport problem with Coulomb cost
DOI10.1017/S0956792519000111zbMath1428.49013OpenAlexW2945218792MaRDI QIDQ5242586
Publication date: 12 November 2019
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0956792519000111
optimality conditionMonge-Kantorovich problem\(c\)-cyclical monotonicitymulti-marginal optimal transportationCoulomb repulsive cost
Methods involving semicontinuity and convergence; relaxation (49J45) Duality theory (optimization) (49N15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30) Manifolds and measure-geometric topics (49Q99)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Invariance properties of the Monge-Kantorovich mass transport problem
- On the local structure of optimal measures in the multi-marginal optimal transportation problem
- Matching for teams
- Hedonic price equilibria, stable matching, and optimal transport: Equivalence, topology, and uniqueness
- On optimality of \(c\)-cyclically monotone transference plans
- Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
- Monge problem for \(n\) probabilities
- Continuity and estimates for multimarginal optimal transportation problems with singular costs
- Equality between Monge and Kantorovich multimarginal problems with Coulomb cost
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- On the sufficiency of \(c\)-cyclical monotonicity for optimality of transport plans
- Counterexamples in multimarginal optimal transport with Coulomb cost and spherically symmetric data
- A general duality theorem for the Monge–Kantorovich transport problem
- Uniqueness and Monge Solutions in the Multimarginal Optimal Transportation Problem
- Duality theorems for marginal problems
- Optimal transport with Coulomb cost. Approximation and duality
- Optimal transportation for the determinant
- Characterization of optimal transport plans for the Monge-Kantorovich problem
- Optimal maps for the multidimensional Monge-Kantorovich problem
- 9. Optimal transportation theory with repulsive costs
- $C$-cyclical monotonicity as a sufficient criterion for optimality in the multimarginal Monge–Kantorovich problem
- Density Functional Theory and Optimal Transportation with Coulomb Cost
- A Self‐Dual Polar Factorization for Vector Fields
- Multimarginal Optimal Transport Maps for One–dimensional Repulsive Costs
- Marginals with Finite Repulsive Cost
- Continuity of Multimarginal Optimal Transport with Repulsive Cost
- A General Condition for Monge Solutions in the Multi-Marginal Optimal Transport Problem
- Optimal Transport
This page was built for publication: On c-cyclical monotonicity for optimal transport problem with Coulomb cost
