Mon, 11 May 2015
17:00 -
18:00
L4
Lipschitz Regularity for Inner Variational PDEs in 2D
Tadeusz Iwaniec
(Syracuse)
Abstract
I will present a joint work with Leonid Kovalev and Jani Onninen. The proofs are based on topological arguments (degree theory) and the properties of planar quasiconformal mappings. These new ideas apply well to inner variational equations of conformally invariant energy integrals; in particular, to the Hopf-Laplace equation for the Dirichlet integral.