Critical Hardy--Sobolev Inequalities

Details Critical Hardy--Sobolev Inequalities Critical Hardy--Sobolev Inequalities

2006-11-15

arxiv.org/abs/math/0611484v1

Mathematics

Analysis of PDEs

22 pages

Scientific paper

We consider Hardy inequalities in $I R^n$, $n \geq 3$, with best constant
that involve either distance to the boundary or distance to a surface of
co-dimension $kmultiple of a whole range of critical norms that at the extreme case become
precisely the critical Sobolev norm.

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