$L^p$-Extremal Teichmüller mappings between Riemann surfaces are diffeomorphisms

Gaven Martin, Cong Yao

We consider minimisers in the homotopy class of a homeomorphism $f_0:R\to S$ between analytically finite Riemann surfaces with minimal $L^p$- conformal energy \[ \mathsf{E}_p(f:R,S…