Free boundary regularity in the optimal partial transport problem

DOI10.1016/J.JFA.2013.03.006zbMath1278.49053arXiv1210.3111OpenAlexW2088618885MaRDI QIDQ390371

Emanuel Indrei

Publication date: 8 January 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.3111

zbMATH Keywords

Monge-Ampère equationregularity theoryfree boundariesoptimal transport theory

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60) Free boundary problems for PDEs (35R35)

Related Items (7)

Dynamics of optimal partial transport ⋮ The Monge–Ampère equation and its link to optimal transportation ⋮ C2,α$C^{2,\alpha }$ regularity of free boundaries in optimal transportation ⋮ Optimal partial mass transportation and obstacle Monge-Kantorovich equation ⋮ Optimal partial transport problem with Lagrangian costs ⋮ Global optimal regularity for variational problems with nonsmooth non-strictly convex gradient constraints ⋮ On the regularity of the free boundary in the optimal partial transport problem for general cost functions

Cites Work

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• The optimal partial transport problem
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• Sets of Finite Perimeter and Geometric Variational Problems
• The Regularity of Mappings with a Convex Potential
• Some regularity properties of solutions of Monge Ampère equation
• Boundary regularity of maps with convex potentials
• Convex Analysis

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