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Optimal partial regularity of minimizers of quasiconvex variational integrals

Published online by Cambridge University Press:  05 September 2007

Christoph Hamburger
Christoph Hamburger*
Affiliation:
Hohle Gasse 77, 53177 Bonn, Germany.
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Abstract

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.

Keywords

Partial regularityoptimal regularityminimizercalculus of variationsquasiconvexity
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 13 , Issue 4 , October 2007 , pp. 639 - 656
Copyright
© EDP Sciences, SMAI, 2007

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