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Partial regularity of multiple variational integrals of any order

Published online by Cambridge University Press:  14 November 2011

Liu Xiangao
Affiliation:
Department of Mathematics, University of Hunan, Changsha Hunan, People's Republic of China

Synopsis

We prove Cm, μ almost everywhere regularity for minimisers of functional of the form ∫f(x, su, Dmu)dx, where f is uniformly strictly quasiconvex.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1990

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