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math.AP2022★ 2 cited
On the sharp Hardy inequality in Sobolev-Slobodecki\uı spaces
Francesca Bianchi, Lorenzo Brasco, Anna Chiara Zagati
We study the sharp constant in the Hardy inequality for fractional Sobolev spaces defined on open subsets of the Euclidean space. We first list some properties of such a constant,…
math.AP2022
A note on the supersolution method for Hardy's inequality
Francesca Bianchi, Lorenzo Brasco, Firoj Sk +1
We prove a characterization of Hardy's inequality in Sobolev-Slobodecki\uı spaces in terms of positive local weak supersolutions of the relevant Euler-Lagrange equation. This exten…