A Self‐Dual Polar Factorization for Vector Fields

DOI10.1002/cpa.21430zbMath1264.49048arXiv1101.4979OpenAlexW2963521336MaRDI QIDQ4921713

Nassif Ghoussoub, Abbas Moameni

Publication date: 13 May 2013

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.4979

zbMATH Keywords

vector fieldsself-dual mass transport problemself-dual polar factorization

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20)

Related Items (13)

On deterministic solutions for multi-marginal optimal transport with Coulomb cost ⋮ Continuity and estimates for multimarginal optimal transportation problems with singular costs ⋮ On the twist condition and \(c\)-monotone transport plans ⋮ Remarks on multi-marginal symmetric Monge-Kantorovich problems ⋮ Optimal mass transport and symmetric representations of their cost functions ⋮ Problèmes de transport multi-marginal de Monge-Kantorovich : une caractérisation des solutions ⋮ Symmetric Monge-Kantorovich problems and polar decompositions of vector fields ⋮ Infinite-body optimal transport with Coulomb cost ⋮ Metric selfduality and monotone vector fields on manifolds ⋮ Representation of generalized monotone multimaps ⋮ Continuity of Multimarginal Optimal Transport with Repulsive Cost ⋮ On c-cyclical monotonicity for optimal transport problem with Coulomb cost ⋮ Invariance properties of the Monge-Kantorovich mass transport problem

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• A representation of arbitrary maximal monotone operators via subgradients of skew-symmetric saddle functions
• Polar factorization and monotone rearrangement of vector‐valued functions
• Fixed points in the family of convex representations of a maximal monotone operator
• Maximal monotonicity, conjugation and the duality product
• On Compactness in Functional Analysis

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