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Carozza, Menita; Passarelli di Napoli, Antonia

Partial regularity for anisotropic functionals of higher order. (English) Zbl 1130.35317

ESAIM, Control Optim. Calc. Var. 13, No. 4, 692-706 (2007).
Summary: We prove a \(C^{k,\alpha}\) partial regularity result for local minimizers of variational integrals of the type \(I(u)=\int_\Omega f(D^{k}u(x))\,dx\), assuming that the integrand \(f\) satisfies (\(p,q)\) growth conditions.

Cited in 7 Documents

MSC:

35D10 Regularity of generalized solutions of PDE (MSC2000)
49N60 Regularity of solutions in optimal control

Keywords:

nonstandard growth; higher order derivatives
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\textit{M. Carozza} and \textit{A. Passarelli di Napoli}, ESAIM, Control Optim. Calc. Var. 13, No. 4, 692--706 (2007; Zbl 1130.35317)
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