Optimal partial regularity of minimizers of quasiconvex variational integrals

We prove partial regularity with optimal Hölder exponent of vector-valued minimizers u of the quasiconvex variational integral $\int F( x,u,Du) \,{\rm d}x$ under polynomial growth. We employ the indirect method of the bilinear form.

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Bibliographische Detailangaben
Veröffentlicht in:	ESAIM. Control, optimisation and calculus of variations optimisation and calculus of variations, 2007-10, Vol.13 (4), p.639-656
1. Verfasser:	Hamburger, Christoph
Format:	Artikel
Sprache:	eng
Schlagworte:	35J50 49N60 calculus of variations Hypotheses Inequality Integrals minimizer optimal regularity Partial regularity quasiconvexity
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Beschreibung
Zusammenfassung:	We prove partial regularity with optimal Hölder exponent of vector-valued minimizers u of the quasiconvex variational integral $\int F( x,u,Du) \,{\rm d}x$ under polynomial growth. We employ the indirect method of the bilinear form.
ISSN:	1292-8119 1262-3377
DOI:	10.1051/cocv:2007039