A note on global regularity in optimal transportion

DOI10.1007/s13373-013-0046-yzbMath1283.35051OpenAlexW2034918362WikidataQ59293164 ScholiaQ59293164MaRDI QIDQ5396582

Neil S. Trudinger

Publication date: 31 January 2014

Published in: Bulletin of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13373-013-0046-y

zbMATH Keywords

optimal transportationsecond boundary value problemMonge-Ampère equations

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Smoothness and regularity of solutions to PDEs (35B65) Regularity of solutions in optimal control (49N60) Nonlinear boundary value problems for nonlinear elliptic equations (35J66) Monge-Ampère equations (35J96)

Related Items (5)

The Monge–Ampère equation and its link to optimal transportation ⋮ A note on second derivative estimates for Monge-Ampère-type equations ⋮ From Optimal Transportation to Conformal Geometry ⋮ On the Dirichlet problem for a class of augmented Hessian equations ⋮ On Pogorelov estimates in optimal transportation and geometric optics

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