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 …

AMS :: Bulletin of the American Mathematical Society Skip to Main Content American
Mathematical Society American Mathematical Society MathSciNet Bookstore Publications …

Given compactly supported 0≤ f, g∈ L¹ (ℝ n), the problem of transporting a fraction m≤
min∥ f∥ L 1,∥ g∥ L 1 of the mass of f onto g as cheaply as possible is considered, where …

Abstract Let Φ: R n→ R be a function strictly convex and smooth, and μ= detD 2 Φ is the
Monge-Ampere generated by Φ. Given x∈ R n and t> 0, let'S (x, t)={y∈ R n: Φ (y)< Φ (x)+∇ …

In this paper we prove that a strictly convex Alexandrov solution u of the Monge–Ampère
equation, with right-hand side bounded away from zero and infinity, is W^2,1_loc. This is …

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 …

W2,1+ε estimates for the Monge–Ampère equation - ScienceDirect Skip to main contentSkip
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We consider solutions to the equation det D 2ϕ= μ when μ has a doubling property. We
prove new geometric characterizations for this doubling property (by means of the so-called …

We extend a theorem of Jörgens, Calabi and Pogorelov on entire solutions of elliptic Monge–
Ampère equation to parabolic Monge–Ampère equation, and obtain delicate asymptotic …

We prove that if the function u= u (x, t), convex in x and nonincreasing in t, has time
derivative bounded away from 0 and−∞, and is a solution of the parabolic Monge-Ampère …