Critical Hardy--Sobolev Inequalities
Filippas, S. · Maz'ya, V. · Tertikas, A.
Original · EN
We consider Hardy inequalities in I Rⁿ, 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.
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