Thesis
Regularity for almost minimizers in variational problems
- Abstract:
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The aim of this thesis is to contribute to the regularity theory in the calculus of variations, with a particular focus on almost minimizers. Specifically, we study (quasi-)convex variational functionals of the form
F(u, Ω) := ˆΩf(∇u) dx,
where Ω ⊂ Rn is a bounded open set, u is an R N -valued map defined on Ω, and the integrand f : R N×n → R is of p-growth with p ≥ 1 in the following sense: there exists a constant L > 0 such that
|f(z)| ≤ L(1 +...
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- Files:
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(Preview, Dissemination version, pdf, 1.4MB, Terms of use)
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Authors
Contributors
+ Kristensen, J
- Institution:
- University of Oxford
- Division:
- MPLS
- Department:
- Mathematical Institute
- Role:
- Supervisor
- ORCID:
- 0000-0002-8302-5953
+ Engineering and Physical Sciences Research Council
More from this funder
- Funder identifier:
- https://ror.org/0439y7842
- Funding agency for:
- Li, Z
- Grant:
- EP/L015811/1
- Programme:
- EPSRC Centre for Doctoral Training in Partial Differential Equations: Analysis and Applications
- DOI:
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- University of Oxford
- Language:
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English
- Keywords:
- Subjects:
- Deposit date:
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2024-05-29
- ARK identifier:
Terms of use
- Copyright holder:
- Li, Z
- Copyright date:
- 2023
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