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Interpolation operators in Orlicz–Sobolev spaces

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Abstract

We study classical interpolation operators for finite elements, like the Scott–Zhang operator, in the context of Orlicz–Sobolev spaces. Furthermore, we show estimates for these operators with respect to quasi-norms which appear in the study of systems of p-Laplace type.

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Diening, L., Růžička, M. Interpolation operators in Orlicz–Sobolev spaces. Numer. Math. 107, 107–129 (2007). https://doi.org/10.1007/s00211-007-0079-9

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  • DOI: https://doi.org/10.1007/s00211-007-0079-9

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