# Partial regularity for anisotropic functionals of higher order

created by passarell on 03 Feb 2006
modified on 17 Jul 2006

[BibTeX]

Accepted Paper

Inserted: 3 feb 2006
Last Updated: 17 jul 2006

Journal: ESAIM:COCV
Year: 2006

Abstract:

We prove a $C^{1,\alpha}$ partial regularity result for local minimizers of variational integrals of the type $I(u)=\int_\Omega f(D^{k}u(x))dx$, assuming that the integrand $f$ satisfies $(p,q)$ growth conditions.