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A Note on the Sufficiency and Necessary Condition for Weak * Lower Semicontinuity

Xiao Yingkun (Department of Mathematics,Jiangxi Normal University,Nanchang 330027)  
In this paper,we have given a necessary and sufficient condition,which we call quasi convexity which corresponds to that of Morrey in the calculus of variations,so that the function f is weak * lower semicontinuous.This condition which equivalent to the convexity condition.Further,we correct the proof of B. Dacorogna on pointwise necessary condition for weak * lower semicontinuous.
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