Optimal partial regularity of minimizers of quasiconvex variational integrals

Christoph Hamburger

ESAIM: Control, Optimisation and Calculus of Variations (2007)

  • Volume: 13, Issue: 4, page 639-656
  • ISSN: 1292-8119

Abstract

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We prove partial regularity with optimal Hölder exponent of vector-valued minimizers u of the quasiconvex variational integral ∫ F ( x , u , D u ) d x under polynomial growth. We employ the indirect method of the bilinear form.

How to cite

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Hamburger, Christoph. "Optimal partial regularity of minimizers of quasiconvex variational integrals." ESAIM: Control, Optimisation and Calculus of Variations 13.4 (2007): 639-656. <http://eudml.org/doc/250009>.

@article{Hamburger2007,
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. },
author = {Hamburger, Christoph},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Partial regularity; optimal regularity; minimizer; calculus of variations; quasiconvexity; minimizer},
language = {eng},
month = {9},
number = {4},
pages = {639-656},
publisher = {EDP Sciences},
title = {Optimal partial regularity of minimizers of quasiconvex variational integrals},
url = {http://eudml.org/doc/250009},
volume = {13},
year = {2007},
}

TY - JOUR
AU - Hamburger, Christoph
TI - Optimal partial regularity of minimizers of quasiconvex variational integrals
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2007/9//
PB - EDP Sciences
VL - 13
IS - 4
SP - 639
EP - 656
AB - 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.
LA - eng
KW - Partial regularity; optimal regularity; minimizer; calculus of variations; quasiconvexity; minimizer
UR - http://eudml.org/doc/250009
ER -

References

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