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On the regularity of holonomically constrained minimisers in the calculus of variations

Abstract:

This thesis concerns the regularity of holonomic minimisers of variational integrals in the context of direct methods in the calculus of variations. Specifically, we consider Sobolev mappings from a bounded domain into a connected compact Riemannian manifold without boundary, to which such mappings are said to be holonomically constrained. For a general class of strictly quasiconvex integral functionals, we give a direct proof of local C1,α-Hölder continuity, for some 0 &l...

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Institution:
University of Oxford
Oxford college:
Queen's College, The
Department:
Mathematical,Physical & Life Sciences Division

Contributors

Role:
Supervisor
Publication date:
2014
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK
URN:
uuid:d8bde7a2-7dae-44d2-919d-48b9f2543789
Local pid:
ora:11547

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