Lipschitz Regularity of harmonic maps from the Heisenberg group into CAT(0) spaces

Seminar series

Partial Differential Equations Seminar

Date

Mon, 28 Oct 2024
16:30

Location

Speaker

Renan Assimos

Organisation

Leibniz Universität Hannover

We prove the local Lipschitz continuity of energy minimizing harmonic maps between singular spaces, more specifically from the n-dimensional Heisenberg group into CAT(0) spaces. The present result paves the way for a general regularity theory of sub-elliptic harmonic maps, providing a versatile approach applicable beyond the Heisenberg group. Joint work with Yaoting Gui and Jürgen Jost.