The Monge-Ampère equation

By Guido De Philippis. 2013

95 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/183c2e422049ed3962c982c6c710d5213ee9ffe4

Citations in the corpus

• A least-squares method for the numerical solution of the Dirichlet problem for the elliptic monge − ampère equation in dimension two (2013, unknown): “LEAST-SQUARES METHOD FOR THE ELLIPTIC MONGE−AMPÈRE EQUATION 783 context of Monge−Ampère equations, generalized solution has a very precise meaning, namely the one introduced by Aleksandrov (see [1, 46]) and further discussed in [37], Chapter 1.”
• Partial Regularity for Singular Solutions to the Monge‐Ampère Equation (2013, unknown): “A/j represents the Lebesgue measure of the image of the subgradients of v in A (see [10]).”
• Optimal Transport for Applied Mathematicians: Calculus of Variations, PDEs, and Modeling (2015, unknown): “We refer, for instance, to [191] for the general theory about this equation.”