| Issue |
ESAIM: COCV
Volume 17, Number 2, April-June 2011
|
|
|---|---|---|
| Page(s) | 472 - 492 | |
| DOI | https://doi.org/10.1051/cocv/2010016 | |
| Published online | 23 April 2010 | |
Partial regularity of minimizers of higher order integrals with (p, q)-growth
Mathematisches Institut der Friedrich-Alexander-Universität Erlangen-Nürnberg,
Bismarckstraße 1 1/2, 91054 Erlangen, Germany. schemm@mi.uni-erlangen.de
Received:
2
May
2008
We consider higher order functionals of the form
where the integrand 
,
m ≥ 1 is strictly quasiconvex and satisfies a non-standard growth condition.
More precisely we assume that f fulfills the (p, q)-growth condition
with γ, L > 0 and 
. We study minimizers of the
functional 
and prove a partial 
-regularity result.
Mathematics Subject Classification: 49N60 / 49N99 / 49J45
Key words: Higher order functionals / non-standard growth / regularity theory
© EDP Sciences, SMAI, 2010
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