Author:
Bianchi Francesca,Brasco Lorenzo,Sk Firoj,Zagati Anna Chiara
Abstract
AbstractWe prove a characterization of Hardy’s inequality in Sobolev–Slobodeckiĭ spaces in terms of positive local weak supersolutions of the relevant Euler-Lagrange equation. This extends previous results by Ancona Kinnunen & Korte for standard Sobolev spaces. The proof is based on variational methods.
Funder
Università degli Studi di Parma
Publisher
Springer Science and Business Media LLC
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