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A note on the supersolution method for Hardy's inequality.
- Source :
- Revista Matematica Complutense; May2024, Vol. 37 Issue 2, p323-340, 18p
- Publication Year :
- 2024
-
Abstract
- We prove a characterization of Hardy's inequality in Sobolev–SlobodeckiÄ 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 11391138
- Volume :
- 37
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Revista Matematica Complutense
- Publication Type :
- Academic Journal
- Accession number :
- 176910410
- Full Text :
- https://doi.org/10.1007/s13163-023-00460-7