Abstract
Let Ω be a smooth bounded domain in R N , N ⩾ 3 . We show that Hardy's inequality involving the distance to the boundary, with best constant ( 1 4 ), may still be improved by adding a multiple of the critical Sobolev norm. To cite this article: S. Filippas et al., C. R. Acad. Sci. Paris, Ser. I 339 (2004).
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