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arXiv:2209.03011 [math.AP]AbstractReferencesReviewsResources

A note on the supersolution method for Hardy's inequality

Francesca Bianchi, Lorenzo Brasco, Firoj Sk, Anna Chiara Zagati

Published 2022-09-07Version 1

We prove a characterization of Hardy's inequality in Sobolev-Slobodecki\u{\i} spaces in terms of positive local weak supersolutions of the relevant Euler-Lagrange equation. This extends previous results by Ancona and Kinnunen & Korte for standard Sobolev spaces. The proof is based on variational methods.

Comments: 14 pages
Categories: math.AP, math.FA
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