Geodesic
Partial regularity for anisotropic functionals of higher order
ESAIM: Control, Optimisation and Calculus of Variations, Tome 13 (2007) no. 4, pp. 692-706

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We prove a C k,α partial regularity result for local minimizers of variational integrals of the type I(u)=∫ Ω f(D k u(x))dx, assuming that the integrand f satisfies (p,q) growth conditions.

DOI : 10.1051/cocv:2007033
Classification : 35G99, 49N60, 49N99
Keywords: partial regularity, non standard growth, higher order derivatives 
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     author = {Carozza, Menita and Passarelli Di Napoli, Antonia},
     title = {Partial regularity for anisotropic functionals of higher order},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {692--706},
     publisher = {EDP-Sciences},
     volume = {13},
     number = {4},
     year = {2007},
     doi = {10.1051/cocv:2007033},
     mrnumber = {2351398},
     zbl = {1130.35317},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2007033/}
}
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Carozza, Menita; Passarelli Di Napoli, Antonia. Partial regularity for anisotropic functionals of higher order. ESAIM: Control, Optimisation and Calculus of Variations, Tome 13 (2007) no. 4, pp. 692-706. doi: 10.1051/cocv:2007033

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