In this paper we prove that every weak and strong local minimizer of the functional where , grows like , grows like and , is on an open subset of 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.
Keywords: nonlinear elasticity, partial regularity, polyconvexity
@article{COCV_2007__13_1_120_0, author = {Carozza, Menita and Passarelli Di Napoli, Antonia}, title = {Model problems from nonlinear elasticity : partial regularity results}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {120--134}, publisher = {EDP-Sciences}, volume = {13}, number = {1}, year = {2007}, doi = {10.1051/cocv:2007007}, mrnumber = {2282105}, language = {en}, url = {http://www.numdam.org/articles/10.1051/cocv:2007007/} }
TY - JOUR AU - Carozza, Menita AU - Passarelli Di Napoli, Antonia TI - Model problems from nonlinear elasticity : partial regularity results JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2007 SP - 120 EP - 134 VL - 13 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv:2007007/ DO - 10.1051/cocv:2007007 LA - en ID - COCV_2007__13_1_120_0 ER -
%0 Journal Article %A Carozza, Menita %A Passarelli Di Napoli, Antonia %T Model problems from nonlinear elasticity : partial regularity results %J ESAIM: Control, Optimisation and Calculus of Variations %D 2007 %P 120-134 %V 13 %N 1 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/cocv:2007007/ %R 10.1051/cocv:2007007 %G en %F COCV_2007__13_1_120_0
Carozza, Menita; Passarelli Di Napoli, Antonia. Model problems from nonlinear elasticity : partial regularity results. ESAIM: Control, Optimisation and Calculus of Variations, Volume 13 (2007) no. 1, pp. 120-134. doi : 10.1051/cocv:2007007. http://www.numdam.org/articles/10.1051/cocv:2007007/
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