Duality for the $L^{\infty }$ optimal transport problem

DOI10.1090/tran/6759zbMath1364.35070OpenAlexW2550428753MaRDI QIDQ2960431

Emmanuel Nicholas Barron, Marian F. Bocea, Robert R. Jensen

Publication date: 9 February 2017

Full work available at URL: https://doi.org/10.1090/tran/6759

zbMATH Keywords

quasiconvex dualityMonge-Kantorovich optimal mass transport problem

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Existence of solutions for minimax problems (49J35) Methods involving semicontinuity and convergence; relaxation (49J45) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30) Hamilton-Jacobi equations (35F21)

Related Items (6)

Minimizing optimal transport for functions with fixed-size nodal sets ⋮ \(L^\infty\)-optimal transport for a class of strictly quasiconvex cost functions ⋮ Lower semicontinuity and relaxation of nonlocal \(L^\infty\)-functionals ⋮ A relaxation result in the vectorial setting and power law approximation for supremal functionals ⋮ A study of the dual problem of the one-dimensional \(L^\infty\)-optimal transport problem with applications ⋮ \({\mathcal{W}}_\infty \)-transport with discrete target as a combinatorial matching problem

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