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Thesis

Regularity and uniqueness in the calculus of variations

Abstract:

This thesis is about regularity and uniqueness of minimizers of integral functionals of the form

F(u) := ∫Ω F(∇u(x)) dx;

where F∈C2(RNn) is a strongly quasiconvex integrand with p-growth, Ω⊆RnRn is an open bounded domain and u∈W1,pg(Ω,RN) for some boundary datum g∈C1,α(‾Ω, RN).

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Research group:
Oxford Centre for Nonlinear PDE (OxPDE)
Oxford college:
St Catherine's College
Role:
Author

Contributors

Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Publication date:
2014
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK
Language:
English
Keywords:
Subjects:
UUID:
uuid:81e69dac-5ba2-4dc3-85bc-5d9017286f13
Local pid:
ora:10622
Deposit date:
2015-03-18

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