Comments on the regularity of harmonic maps between singular spaces

Luca Gennaioli, Nicola Gigli, Hui-Chun Zhang +1

In this work we are going to establish Hölder continuity of harmonic maps from an open set $\Omega$ in an $\mathrm{RCD}(K,N)$ space valued into a $\mathrm{CAT}(\kappa )$ space, with the constraint…