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A Caccioppoli inequality and partial regularity in the calculus of variations

  • Ronald F. Gariepy (a1)


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.



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