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On the brezis and mironescu conjecture concerning a Gagliardo-Nirenberg inequality for fractional Sobolev norms
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.
2002 (English)In: Journal des Mathématiques Pures et Appliquées, ISSN 0021-7824, E-ISSN 1776-3371, Vol. 81, no 9, 877-884 p.Article in journal (Refereed) Published
Abstract [en]

We prove the Gagliardo-Nirenberg type inequality where 0 < ? < 1, 0 < s < 1, 1 < p < 8, and ?u? Ws,p is the seminorm in the fractional Sobolev space Ws,p (Rn). The dependence of the constant factor in the right-hand side on each of the parameters s, ?, and p is precise in a sense. © 2002 Éditions scientifiques et médicales Elsevier SAS. All rights reserved.

Place, publisher, year, edition, pages
2002. Vol. 81, no 9, 877-884 p.
Keyword [en]
Fractional Sobolev norms, Gagliardo-Nirenberg inequality, Interpolation inequalities
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-46909DOI: 10.1016/S0021-7824(02)01262-XOAI: oai:DiVA.org:liu-46909DiVA: diva2:267805
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2017-12-13

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Maz´ya, Vladimir G.Shaposhnikova, Tatyana

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