Document ESAIM: COCV, Vol. 13, N°4, pp. 639-656
DOI: 10.1051/cocv:2007039
Optimal partial regularity of minimizers of quasiconvex variational integrals
Christoph HamburgerHohle Gasse 77, 53177 Bonn, Germany.
(Received September 13, 2005. Published online September 5, 2007.)
Abstract
We prove partial regularity with optimal Hölder exponent of
vector-valued minimizers u of the quasiconvex variational integral
under polynomial growth. We employ the indirect
method of the bilinear form.
Mathematics Subject Classification. 35J50, 49N60
Key words: Partial regularity, optimal regularity, minimizer, calculus of variations, quasiconvexity
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