Partial Regularity for Holonomic Minimisers of Quasiconvex Functionals
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. Our approach uses the lifting of Sobolev mappings to the universal covering space, the connectedness of …