Sharp conditions for Korn inequalities in Orlicz spaces
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چکیده
We show that Korn’s inequality in Orlicz spaces holds if and only if the Orlicz function satisfies the ∆2and the ∇2-condition. This result applies to several types of Korn’s inequality. In particular we show that Korn’s inequality is false in L, in L logL, in Exp and in L∞. MSC (2000): 74 B, 74 G, 76 D, 49 J.
منابع مشابه
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تاریخ انتشار 2010