Sobolev mappings between manifolds and metric spaces

Piotr Hajlasz, University of Warsaw and University of Michigan

Abstract: I will discuss some recent results about Sobolev mappings between manifolds, finite polyhedra and metric-space valued Sobolev mappings. The results that I am going to discuss will concern approximation, degree theory in the Orlicz-Sobolev classes below W^1,n and Hardy space regularity of Jacobians of Sobolev mappings between manifolds.