Regularity of Optimal Transport Maps and Applications

DOI10.1007/978-88-7642-458-8zbMath1273.49002OpenAlexW642751729MaRDI QIDQ4922798

Guido De Philippis

Publication date: 4 June 2013

Full work available at URL: https://doi.org/10.1007/978-88-7642-458-8

zbMATH Keywords

regularitysemi-geostrophic equationsMonge-Ampère equationoptimal transport maps

Mathematics Subject Classification ID

Variational inequalities (49J40) Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60) Methods involving semicontinuity and convergence; relaxation (49J45) Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control (49-02) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (3)

Singular structures in solutions to the Monge-Ampère equation with point masses ⋮ Local regularity result for an optimal transportation problem with rough measures in the plane ⋮ On a question of D. Serre

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