Frank, Rupert L. and Loss, Michael (2012) Hardy-Sobolev-Maz'ya inequalities for arbitrary domains. Journal de Mathématiques Pures et Appliquées, 97 (1). pp. 39-54. ISSN 0021-7824. doi:10.1016/j.matpur.2011.04.004. https://resolver.caltech.edu/CaltechAUTHORS:20170501-085309159
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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.
| Item Type: | Article | ||||||||||||
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| 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. | ||||||||||||
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| Subject Keywords: | Sobolev inequality; Hardy inequality; Schrödinger operator | ||||||||||||
| Issue or Number: | 1 | ||||||||||||
| DOI: | 10.1016/j.matpur.2011.04.004 | ||||||||||||
| Record Number: | CaltechAUTHORS:20170501-085309159 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170501-085309159 | ||||||||||||
| Official Citation: | Rupert L. Frank, Michael Loss, Hardy–Sobolev–Mazʼya inequalities for arbitrary domains, Journal de Mathématiques Pures et Appliquées, Volume 97, Issue 1, 2012, Pages 39-54, ISSN 0021-7824, http://dx.doi.org/10.1016/j.matpur.2011.04.004. (http://www.sciencedirect.com/science/article/pii/S002178241100050X) | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 77092 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Ruth Sustaita | ||||||||||||
| Deposited On: | 01 May 2017 16:12 | ||||||||||||
| Last Modified: | 15 Nov 2021 17:28 |
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