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Partial regularity for anisotropic functionals of higher order

Published online by Cambridge University Press:  20 July 2007

Menita Carozza  and
Antonia Passarelli di Napoli
Menita Carozza
Affiliation:
Dipartimento Pe.Me.Is, Università degli studi del Sannio, Piazza Arechi 2, 82100 Benevento, Italy; carozza@unisannio.it
Antonia Passarelli di Napoli
Affiliation:
Dipartimento di Matematica e Applicazioni “R. Caccioppoli” Università di Napoli “Federico II", via Cintia, 80126 Napoli, Italy; antonia.passarelli@unina.it
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Abstract


We prove a $C^{k,\alpha}$ partial regularity result for local minimizers of variationalintegrals of the type $I(u)=\int_\Omega f(D^{k}u(x)){\rm d}x$ , assumingthat the integrand f satisfies (p,q) growth conditions.


Keywords

Partial regularitynon standard growthhigher order derivatives
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 13 , Issue 4 , October 2007 , pp. 692 - 706
Copyright
© EDP Sciences, SMAI, 2007

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