\(L^p\) approximation of maps by diffeomorphisms

DOI10.1007/s005260100144zbMath1055.26008OpenAlexW2317495413MaRDI QIDQ1566341

Wilfrid Gangbo, Yann Brenier

Publication date: 2 June 2003

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s005260100144

zbMATH Keywords

mass transferconvex functionsoptimal transportationapproximation by diffeomorphismsbistochastic measure

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Measure-preserving transformations (28D05) Variational problems in a geometric measure-theoretic setting (49Q20) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Manifolds of mappings (58D15)

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