Published May 12, 2017
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The sharp constant in the Hardy-Sobolev-Maz'ya inequality in the three dimensional upper half-space
Abstract
It is shown that the sharp constant in the Hardy-Sobolev-Maz'ya inequality on the upper half space H^3 ⊂ R^3 is given by the Sobolev constant. This is achieved by a duality argument relating the problem to a Hardy-Littlewood-Sobolev type inequality whose sharp constant is determined as well.
Additional Information
© 2007 by the authors. This paper may be reproduced, in its entirety, for non-commercial purposes. May 7, 2007 (Submitted on 25 May 2007) Work partially supported by Fondecyt (CHILE) projects 106–0651 and 706–0200, and CONICYT/PBCT Proyecto Anillo de Investigaciόn en Ciencia y Tecnología ACT30/2006. Work partially supported by the Swedish Foundation for International Cooperation in Research and Higher Education (STINT). Work partially supported by NSF-grant DMS-0600037.Attached Files
Submitted - 0705.3833.pdf
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Additional details
- Eprint ID
- 77362
- Resolver ID
- CaltechAUTHORS:20170511-064913855
- 106–0651
- Fondo Nacional de Desarrollo Científico y Tecnológico (FONDECYT) Chile
- 706–0200
- Fondo Nacional de Desarrollo Científico y Tecnológico (FONDECYT) Chile
- ACT30/2006
- Comisión Nacional de Investigación Científica y Tecnológica (CONICYT)
- Created
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2017-05-12Created from EPrint's datestamp field
- Updated
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2023-06-02Created from EPrint's last_modified field