A note on second derivative estimates for Monge-Ampère-type equations

DOI10.1515/ANS-2022-0036OpenAlexW4315706283MaRDI QIDQ2685129

Neil S. Trudinger

Publication date: 19 February 2023

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.01039

zbMATH Keywords

regularityexistenceMonge-Ampère-type equationsgenerated Jacobian equationssecond derivative estimates

Mathematics Subject Classification ID

Transportation, logistics and supply chain management (90B06) Geometric optics (78A05) Monge-Ampère equations (35J96)

Related Items (2)

Strict g-Convexity for Generated Jacobian Equations with Applications to Global Regularity ⋮ Weak solutions of generated Jacobian equations

Cites Work

• Unnamed Item
• On the local theory of prescribed Jacobian equations
• On the classical solvability of near field reflector problems
• Oblique boundary value problems for augmented Hessian equations. II
• On the regularity of solutions of optimal transportation problems
• On the second boundary value problem for Monge-Ampère type equations and geometric optics
• Weak formulation of the MTW condition and convexity properties of potentials
• On Pogorelov estimates for Monge-Ampère type equations
• On the local theory of prescribed Jacobian equations revisited
• Regularity of potential functions of the optimal transportation problem
• On the second boundary value problem for Monge-Ampère type equations and optimal transportation
• Neumann problem for Monge-Ampere type equations revisited.
• DISTINCT SOLUTIONS TO GENERATED JACOBIAN EQUATIONS CANNOT INTERSECT
• On Pogorelov estimates in optimal transportation and geometric optics
• Pointwise Estimates and Regularity in Geometric Optics and Other Generated Jacobian Equations
• On the Neumann Problem for Monge-Ampére Type Equations
• A note on global regularity in optimal transportion

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