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A Caccioppoli inequality and partial regularity in the calculus of variations
Published online by Cambridge University Press: 14 November 2011
Synopsis
A new proof is given of the partial regularity of minimisers under the principal assumptions of uniform strict quasiconvexity and polynomial growth. The proof is based on a Caccioppoli inequality and an “indirect” blow-up argument; this avoids the technical complications of a “direct” argument.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 112 , Issue 3-4 , 1989 , pp. 249 - 255
- Copyright
- Copyright © Royal Society of Edinburgh 1989
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