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Article Dans Une Revue Discrete and Continuous Dynamical Systems - Series A Année : 2018

On fractional Hardy inequalities in convex sets

Résumé

We prove a Hardy inequality on convex sets, for fractional Sobolev-Slobodecki\u{\i} spaces of order $(s,p)$. The proof is based on the fact that in a convex set the distance from the boundary is a superharmonic function, in a suitable sense. The result holds for every $1
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Dates et versions

hal-01586181 , version 1 (12-09-2017)

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Lorenzo Brasco, Eleonora Cinti. On fractional Hardy inequalities in convex sets. Discrete and Continuous Dynamical Systems - Series A, 2018, 38 (8), pp.4019-4040. ⟨10.3934/dcds.2018175⟩. ⟨hal-01586181⟩
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