Seminar Analysis: Christopher Hopper (Aalto University)

Partial Regularity for Holonomic Minimisers of Quasiconvex Functionals

We prove partial regularity for local minimisers of certain strictly quasiconvex integral functionals, over a class of Sobolev mappings into a compact Riemannian manifold, to which such mappings are said to be holonomically constrained. Several applications to variational problems in condensed matter physics with broken symmetries will also be discussed related to the manifold constraint condition.

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