2 papers
math.FA2020
Korevaar-Schoen's energy on strongly rectifiable spaces
Nicola Gigli, Alexander Tyulenev
We extend Korevaar-Schoen's theory of metric valued Sobolev maps to cover the case of the source space being an RCD space. In this situation it appears that no version of the `subp…
math.FA2019
Korevaar-Schoen's directional energy and Ambrosio's regular Lagrangian flows
Nicola Gigli, Alexander Tyulenev
We develop Korevaar-Schoen's theory of directional energies for metric-valued Sobolev maps in the case of source spaces; to do so we crucially rely on Ambrosio's concep…