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).
|Number of pages||9|
|Journal||Journal of Mathematical Fluid Mechanics|
|Publication status||Published - Sept 2012|
- Korn's inequality in L log L
- Korn's inequality in Orlicz spaces
- Counter example
- Prandtl-Eyring fluids