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Sharp Hardy-Leray inequality for axisymmetric divergence-free fields
Department of Mathematics Ohio State University.
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
2008 (English)In: Calculus of Variations and Partial Differential Equations, ISSN 0944-2669, E-ISSN 1432-0835, Vol. 32, no 4, 523-532 p.Article in journal (Refereed) Published
Abstract [en]

We show that the sharp constant in the classical n-dimensional Hardy-Leray inequality can be improved for axisymmetric divergence-free fields, and find its optimal value. The same result is obtained for n = 2 without the axisymmetry assumption.

Place, publisher, year, edition, pages
2008. Vol. 32, no 4, 523-532 p.
National Category
Mathematics
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URN: urn:nbn:se:liu:diva-43174DOI: 10.1007/s00526-007-0151-4Local ID: 72262OAI: oai:DiVA.org:liu-43174DiVA: diva2:264033
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2010-06-10

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Maz´ya, Vladimir

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