Regularity for variational problems on Riemann surfaces

  • Benjamin Sharp (Imperial College London, United Kingdom)
A3 02 (Seminar room)


The interior (or epsilon-regularity) estimates for two-dimensional variational problems has a long history, ranging from the classical minimal/CMC surface equations to harmonic maps and prescribed mean-curvature equations and more recently Willmore surfaces, $W^{2,2}$ conformal immersions and Dirac-harmonic maps.

Here we will present some new estimates for a class of elliptic PDE with applications (in particular) to the free boundary problem for Dirac-harmonic maps, and global estimates for harmonic maps. This talk is comprised of separate joint works with Miaomiao Zhu and Tobias Lamm.

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail