M. Goldman

activity

20102023

most citedStudy of island formation in epitaxially strained films on unbounded domains

18 citations · 92 across the 40 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.AP2019

A variational approach to regularity theory in optimal transportation

Michael Goldman

This paper describes recent results obtained in collaboration with M. Huesmann and F. Otto on the regularity of optimal transport maps. The main result is a quantitative version of…

math.AP2019

Non-convex functionals penalizing simultaneous oscillations along independent directions: rigidity estimates

Michael Goldman, B. Merlet

We study a family of non-convex functionals ${E}$ on the space of measurable functions $u : Ω_{1} \times Ω_{2} \subset R^{n_{1}} \times R^{n_{2}} \to R$ . T…

math.AP2019★ 5 cited

Quantitative linearization results for the Monge-Ampère equation

Michael Goldman, Martin Huesmann, Felix Otto

This paper is about quantitative linearization results for the Monge-Ampère equation with rough data. We develop a large-scale regularity theory and prove that if a measure $μ$ is…