A note on the supersolution method for Hardy's inequality
| Autor: | Bianchi, Francesca, Brasco, Lorenzo, Sk, Firoj, Zagati, Anna Chiara |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 14 pages |
| Databáze: | arXiv |
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