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- W1997717877 abstract "We consider Hardy inequalities in R n , n ⩾ 3 , with best constant that involve either distance to the boundary or distance to a surface of co-dimension k < n , and we show that they can still be improved by adding a multiple of a whole range of critical norms that at the extreme case become precisely the critical Sobolev norm. Nous étudions des inegalités de Hardy dans R n , n ⩾ 3 , avec la meilleure constante, liée soit à la distance au bord, soit à la distance à une surface de codimension k < n . Nous obtenons des versions améliorées en ajoutant un certain nombre de normes critiques qui, dans le cas limite, sont précisement les normes critiques de Sobolev." @default.
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- W1997717877 date "2007-01-01" @default.
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- W1997717877 title "Critical Hardy–Sobolev inequalities" @default.
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- W1997717877 doi "https://doi.org/10.1016/j.matpur.2006.10.007" @default.
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