Continuity and injectivity of optimal maps
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Publication:2017811
DOI10.1007/s00526-014-0725-xzbMath1333.49066OpenAlexW2067500869WikidataQ122153023 ScholiaQ122153023MaRDI QIDQ2017811
Publication date: 23 March 2015
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-014-0725-x
Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60) Monge-Ampère equations (35J96)
Related Items
On the local theory of prescribed Jacobian equations ⋮ Hölder continuity and injectivity of optimal maps ⋮ Strict convexity and \(C^{1,\alpha}\) regularity of potential functions in optimal transportation under condition A3w ⋮ Strict g-Convexity for Generated Jacobian Equations with Applications to Global Regularity ⋮ A note on global regularity in optimal transportion ⋮ Strict convexity and \(C^1\) regularity of solutions to generated Jacobian equations in dimension two ⋮ Optimal transport with discrete long-range mean-field interactions ⋮ Pointwise Estimates and Regularity in Geometric Optics and Other Generated Jacobian Equations
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