Thesis
Vectorial problems: sharp Lipschitz bounds and borderline regularity
- Abstract:
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This thesis is devoted to the proof of fine regularity properties of solutions to a broad class of variational problems including models from geometry, material science, continuum mechanics and particle physics. Our starting point is the analysis of the behavior of manifold-constrained minima to certain non-homogeneous functionals: under sharp assumptions, we prove that they are regular everywhere, except on a negligible, "singular" set of points. The presence of the singular set is in gen...
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Funding
+ Engineering and Physical Sciences Research Council
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Grant:
EP/L015811/1
Funder identifier:
http://dx.doi.org/10.13039/501100000266
Bibliographic Details
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- University of Oxford
Item Description
- Language:
- English
- Keywords:
- Subjects:
- Deposit date:
- 2020-07-13
Related Items
Terms of use
- Copyright holder:
- De filippis, C
- Copyright date:
- 2020
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