Interpolation operators in Orlicz-Sobolev spaces

被引：73

作者：

Diening, L. ^{[1
]}

Ruzicka, M. ^{[1
]}

机构：

[1] Univ Freiburg, Inst Appl Math, D-79104 Freiburg, Germany

来源：

NUMERISCHE MATHEMATIK | 2007年 / 107卷 / 01期

关键词：

D O I：

10.1007/s00211-007-0079-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：107 / 129

页数：23

共 18 条

[1]

[Anonymous], 1978, FINITE ELEMENT METHO

[2] FINITE-ELEMENT APPROXIMATION OF THE P-LAPLACIAN [J].