A sharp inequality for transport maps in \(W^{1,p}(\mathbb R)\) via approximation

DOI10.1016/j.aml.2011.10.006zbMath1247.26034arXiv1109.6783OpenAlexW1482398500MaRDI QIDQ427697

Jean Louet, Filippo Santambrogio

Publication date: 14 June 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.6783

zbMATH Keywords

calculus of variationsmonotone transportvolume constraintsCoarea formulasemi-continuity

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (3)

The Monge problem with vanishing gradient penalization: vortices and asymptotic profile ⋮ Optimal transportation with an oscillation-type cost: the one-dimensional case ⋮ Some results on Sobolev spaces with respect to a measure and applications to a new transport problem

Cites Work

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• Convexity conditions and existence theorems in nonlinear elasticity
• On a volume-constrained variational problem
• An Optimization Problem with Volume Constraint
• Polar factorization and monotone rearrangement of vector‐valued functions

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