The Monge-Kantorovich problem: achievements, connections, and perspectives
This article gives a survey of recent research related to the Monge-Kantorovich problem.
Principle results are presented on the existence of solutions and their properties both in the …
Principle results are presented on the existence of solutions and their properties both in the …
[LIBRO][B] Topics in optimal transportation
C Villani - 2021 - books.google.com
This is the first comprehensive introduction to the theory of mass transportation with its many—
and sometimes unexpected—applications. In a novel approach to the subject, the book both …
and sometimes unexpected—applications. In a novel approach to the subject, the book both …
[LIBRO][B] Optimal transport: old and new
C Villani - 2009 - Springer
At the close of the 1980s, the independent contributions of Yann Brenier, Mike Cullen and
John Mather launched a revolution in the venerable field of optimal transport founded by G …
John Mather launched a revolution in the venerable field of optimal transport founded by G …
The Monge–Ampère equation and its link to optimal transportation
AMS :: Bulletin of the American Mathematical Society Skip to Main Content American
Mathematical Society American Mathematical Society MathSciNet Bookstore Publications …
Mathematical Society American Mathematical Society MathSciNet Bookstore Publications …
Задача Монжа–Канторовича: достижения, связи и перспективы
ВИ Богачев, АВ Колесников - Успехи математических наук, 2012 - mathnet.ru
В статье дается обзор недавних исследований, связанных с задачей Монжа-
Канторовича. Приведены основные результаты о существовании решений и их …
Канторовича. Приведены основные результаты о существовании решений и их …
Five lectures on optimal transportation: geometry, regularity and applications
In this series of lectures we introduce the Monge–Kantorovich problem of optimally
transporting one distribution of mass onto another, where optimality is measured against a …
transporting one distribution of mass onto another, where optimality is measured against a …
Hölder continuity and injectivity of optimal maps
Consider transportation of one distribution of mass onto another, chosen to optimize the total
expected cost, where cost per unit mass transported from x to y is given by a smooth function …
expected cost, where cost per unit mass transported from x to y is given by a smooth function …
On the existence of radial solutions to a nonlinear k-Hessian system with gradient term
G Wang, Z Zhang, B Ahmad - Nonlinear Analysis: Real World Applications, 2025 - Elsevier
This paper investigates a nonlinear k-Hessian system with gradient term by the monotone
iterative method. We obtain the existence criteria for the entire positive radial solution. The …
iterative method. We obtain the existence criteria for the entire positive radial solution. The …
Pointwise estimates and regularity in geometric optics and other generated Jacobian equations
The study of reflector surfaces in geometric optics necessitates the analysis of certain
nonlinear equations of Monge‐Ampère type known as generated Jacobian equations. This …
nonlinear equations of Monge‐Ampère type known as generated Jacobian equations. This …
On weighted Blaschke--Santalo and strong Brascamp--Lieb inequalities
arxiv:2409.11503v1 [math.FA] 17 Sep 2024 Page 1 arxiv:2409.11503v1 [math.FA] 17 Sep
2024 On weighted Blaschke–Santaló and strong Brascamp–Lieb inequalities Andrea …
2024 On weighted Blaschke–Santaló and strong Brascamp–Lieb inequalities Andrea …