Numerische Mathematik

, Volume 107, Issue 1, pp 107–129 | Cite as

Interpolation operators in Orlicz–Sobolev spaces

Article

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.

Mathematics Subject Classification (2000)

65N30 65N15 65D05 35J60 46E30 

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Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.Institute of Applied MathematicsAlbert-Ludwigs-UniversityFreiburgGermany

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