Solving partial differential inclusions

  • Bernd Kircheim (MPI Leipzig)
Lecture room Princeton University (Princeton)


We are interested in mappings whose gradient takes values in a given (finite) set of matrices.
Existence results rely on constructions via laminations and hence rank-one convexity, where as non-existence (or regularity) uses properties of general gradients and is more related to quasiconvexity and, in particular, quasiconformality.
It turns out that these two approaches complement each other surprisingly well when we consider either sets without rank-one connections or the interface problem.

14.11.02 16.11.02

Quasiconvexity and its applications

Princeton University Lecture room

John Ball

University of Oxford

Weinan E

Princeton University

Robert Kohn

New York University

Stefan Müller

Max Planck Institute for Mathematics in the Sciences