| Issue |
ESAIM: COCV
Volume 13, Number 1, January-March 2007
|
|
|---|---|---|
| Page(s) | 120 - 134 | |
| DOI | https://doi.org/10.1051/cocv:2007007 | |
| Published online | 14 February 2007 | |
Model problems from nonlinear elasticity: partial regularity results
1
Dipartimento Pe.Me.Is., Piazza Arechi II, 82100 Benevento, Italy; carozza@unisannio.it
2
Dipartimento di Matematica e Appl.
“R.Caccioppoli” Universitá di Napoli “Federico II” Via Cintia, 80126
Napoli, Italy; antonia.passarelli@unina.it
Received:
11
May
2005
In this paper we prove that every weak
and strong local
minimizer 
of the functional
where 
,
f grows like 
, g grows
like 
and
1<q<p<2, is 
on an open
subset 
of Ω such that
. Such
functionals naturally arise from nonlinear elasticity problems. The key
point in order to obtain the partial regularity result is to
establish an energy estimate of Caccioppoli type, which is based on
an appropriate choice of the test functions. The limit case
is also treated for weak local minimizers.
Mathematics Subject Classification: 35J50 / 35J60 / 73C50
Key words: Nonlinear elasticity / partial regularity / polyconvexity.
© EDP Sciences, SMAI, 2007
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