Showing 2017Show all
2 papers · 1 filter
math.AP2017
On the structure of measures constrained by linear PDEs
Guido De Philippis, Filip Rindler
The aim of this note is to present some recent results on the structure of the singular part of measures satisfying a PDE constraint and to describe some applications.
math.AP2017
The closure of planar diffeomorphisms in Sobolev spaces
Guido De Philippis, Aldo Pratelli
We characterize the (sequentially) weak and strong closure of planar diffeomorphisms in the Sobolev topology and we show that they always coincide. We also provide some sufficient…