A Caccioppoli inequality and partial regularity in the calculus of variations
Ronald F. Gariepy · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1989
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.