18 citations · 92 across the 40 of their papers we have counts for
4 papers · 1 filter
A two-point function approach to connectedness of drops in convex potentials
Michael Goldman, Guido De Philippis
We establish connectedness of volume constrained minimisers of energies involving surface tensions and convex potentials. By a previous result of McCann, this implies that minimise…
A large-scale regularity theory for the Monge-Ampere equation with rough data and application to the optimal matching problem
Michael Goldman, Martin Huesmann, Felix Otto
The aim of this paper is to obtain quantitative bounds for solutions to the optimal matching problem in dimension two. These bounds show that up to a logarithmically divergent shif…
A gradient flow approach to relaxation rates for the multi-dimensional Cahn-Hilliard equation
Michael Goldman, Lucia De Luca, Marta Strani
The aim of this paper is to study relaxation rates for the Cahn-Hilliard equation in dimension larger than one. We follow the approach of Otto and Westdickenberg based on the gradi…
Quantitative estimates for bending energies and applications to non-local variational problems
Michael Goldman, Matteo Novaga, Matthias Röger
We discuss a variational model, given by a weighted sum of perimeter, bending and Riesz interaction energies, that could be considered as a toy model for charged elastic drops. The…