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 …
Recent developments in numerical methods for fully nonlinear second order partial differential equations
This article surveys the recent developments in computational methods for second order
fully nonlinear partial differential equations (PDEs), a relatively new subarea within …
fully nonlinear partial differential equations (PDEs), a relatively new subarea within …
[BOOK][B] The Monge-Ampere equation
CE Gutiérrez, H Brezis - 2001 - Springer
Cristian E. Gutiérrez Second Edition Page 1 Progress in Nonlinear Differential Equations and
Their Applications 89 Cristian E. Gutiérrez The MongeAmpère Equation Second Edition Page …
Their Applications 89 Cristian E. Gutiérrez The MongeAmpère Equation Second Edition Page …
Chord measures in integral geometry and their Minkowski problems
To the families of geometric measures of convex bodies (the area measures of Aleksandrov‐
Fenchel‐Jessen, the curvature measures of Federer, and the recently discovered dual …
Fenchel‐Jessen, the curvature measures of Federer, and the recently discovered dual …
Geometric measures in the dual Brunn–Minkowski theory and their associated Minkowski problems
A longstanding question in the dual Brunn–Minkowski theory is “What are the dual
analogues of Federer's curvature measures for convex bodies?” The answer to this is …
analogues of Federer's curvature measures for convex bodies?” The answer to this is …
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 …
The -Aleksandrov problem for -integral curvature
It is shown that within the $ L_p $-Brunn–Minkowski theory that Aleksandrov's integral
curvature has a natural $ L_p $ extension, for all real $ p $. This raises the question of …
curvature has a natural $ L_p $ extension, for all real $ p $. This raises the question of …
On the Lp Gaussian Minkowski problem
Y Feng, S Hu, L Xu - Journal of Differential Equations, 2023 - Elsevier
We will be concerned with the L p Gaussian Minkowski problem in Gaussian probability
space, which amounts to solving a class of Monge-Ampère type equations on the sphere. In …
space, which amounts to solving a class of Monge-Ampère type equations on the sphere. In …
A necessary and sufficient condition for the existence of entire large solutions to a k-Hessian system
X Zhang, P Chen, Y Wu… - Applied Mathematics …, 2023 - Elsevier
In this paper, we consider the existence of entire large solutions for a k-Hessian system. By
using an iterative technique and some priori estimates, a necessary and sufficient condition …
using an iterative technique and some priori estimates, a necessary and sufficient condition …
[HTML][HTML] The Lp dual Minkowski problem for p> 1 and q> 0
General L p dual curvature measures have recently been introduced by Lutwak, Yang and
Zhang [24]. These new measures unify several other geometric measures of the Brunn …
Zhang [24]. These new measures unify several other geometric measures of the Brunn …