Abstract
We show that Korn's inequality in Orlicz spaces holds if and only if the Orlicz function satisfies the Delta(2)- and the -condition. This result applies to several types of Korn's inequality. In particular we show that Korn's inequality is false in L (1), in L log L, in Exp and in L (a).
| Original language | English |
|---|---|
| Pages (from-to) | 565-573 |
| Number of pages | 9 |
| Journal | Journal of Mathematical Fluid Mechanics |
| Volume | 14 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Sept 2012 |
Keywords
- Korn's inequality in L log L
- Korn's inequality in Orlicz spaces
- Counter example
- Prandtl-Eyring fluids
- REGULARITY
- COUNTEREXAMPLES
- OPERATORS
- DOMAINS