Published January 2012
| Submitted
Journal Article
Open
Hardy-Sobolev-Maz'ya inequalities for arbitrary domains
- Creators
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Frank, Rupert L.
- Loss, Michael
Abstract
We prove a Hardy-Sobolev-Maz'ya inequality for arbitrary domains Ω ⊂ R^N with a constant depending only on the dimension N ≥ 3. In particular, for convex domains this settles a conjecture by Filippas, Maz'ya and Tertikas. As an application we derive Hardy-Lieb-Thirring inequalities for eigenvalues of Schrödinger operators on domains.
Additional Information
© 2011 Elsevier Masson SAS. Received 11 February 2011; Available online 14 April 2011. The work of M.L. is partially funded by NSF grant DMS–01304.Attached Files
Submitted - 1102.4394.pdf
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Additional details
- Eprint ID
- 77092
- DOI
- 10.1016/j.matpur.2011.04.004
- Resolver ID
- CaltechAUTHORS:20170501-085309159
- DMS-901304
- NSF
- Created
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2017-05-01Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field