| Issue |
ESAIM: COCV
Volume 14, Number 2, April-June 2008
|
|
|---|---|---|
| Page(s) | 211 - 232 | |
| DOI | https://doi.org/10.1051/cocv:2007049 | |
| Published online | 20 March 2008 | |
On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications
1
Abteilung für Angewandte Mathematik, Universität Freiburg, Eckerstr. 1,
79104 Freiburg i. Br., Germany; diening@mathematik.uni-freiburg.de
2
Mathematical Institute, Charles University, Sokolovská
83, 18675 Prague 8, Czech Republic;
malek@karlin.mff.cuni.cz
3
Mathematical Seminar, University of Bonn, Nussallee 15,
53115 Bonn, Germany;
MSteinh@uni-bonn.de
Received:
14
April
2006
Revised:
25
August
2006
We study properties of Lipschitz truncations of Sobolev functions with constant and variable exponent. As non-trivial applications we use the Lipschitz truncations to provide a simplified proof of an existence result for incompressible power-law like fluids presented in [Frehse et al., SIAM J. Math. Anal 34 (2003) 1064–1083]. We also establish new existence results to a class of incompressible electro-rheological fluids.
Mathematics Subject Classification: 35J55 / 35J65 / 35J70 / 35Q35 / 76D99
Key words: Lipschitz truncation of W01,p/W01,p(·)-functions / existence / weak solution / incompressible fluid / power-law fluid / electro-rheological fluid
© EDP Sciences, SMAI, 2008
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.