Model problems from nonlinear elasticity: partial regularity results
Dipartimento Pe.Me.Is., Piazza Arechi II, 82100 Benevento, Italy; email@example.com
2 Dipartimento di Matematica e Appl. “R.Caccioppoli” Universitá di Napoli “Federico II” Via Cintia, 80126 Napoli, Italy; firstname.lastname@example.org
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.
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