Article contents
Partial regularity for anisotropic functionals of higher order
Published online by Cambridge University Press: 20 July 2007
Abstract
We prove a $C^{k,\alpha}$ partial regularity result for local minimizers of variational integrals of the type $I(u)=\int_\Omega f(D^{k}u(x)){\rm d}x$, assuming that the integrand f satisfies (p,q) growth conditions.
- 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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