Dynamics of optimal partial transport
From MaRDI portal
Publication:342987
DOI10.1007/s00526-016-1052-1zbMath1353.35321arXiv1508.02673OpenAlexW2169047718MaRDI QIDQ342987
Young-Heon Kim, Gonzalo Dávila
Publication date: 18 November 2016
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.02673
Length, area, volume, other geometric measure theory (28A75) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Free boundary problems for PDEs (35R35) Monge-Ampère equations (35J96)
Related Items (2)
Optimal partial mass transportation and obstacle Monge-Kantorovich equation ⋮ Optimal partial transport problem with Lagrangian costs
Cites Work
- Unnamed Item
- Free boundary regularity in the optimal partial transport problem
- Regularity of shadows and the geometry of the singular set associated to a Monge-Ampère equation
- On the regularity of solutions of optimal transportation problems
- The optimal partial transport problem
- Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
- Free boundaries in optimal transport and Monge-Ampère obstacle problems
- The geometry of optimal transportation
- Elliptic partial differential equations of second order
- Existence and uniqueness of monotone measure-preserving maps
- On the regularity of the free boundary in the optimal partial transport problem for general cost functions
- A note on the regularity of the free boundaries in the optimal partial transport problem
- Regularity of potential functions of the optimal transportation problem
- Barycenters in the Wasserstein Space
- THE MULTI-MARGINAL OPTIMAL PARTIAL TRANSPORT PROBLEM
- On the second boundary value problem for Monge-Ampère type equations and optimal transportation
- Optimal Transport
- \(BV\) estimates in optimal transportation and applications
This page was built for publication: Dynamics of optimal partial transport