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Trudinger-Moser inequality with remainder terms
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2014 (English)In: Journal of Functional Analysis, ISSN 0022-1236, E-ISSN 1096-0783, Vol. 266, no 1, 55-66 p.Article in journal (Refereed) Published
Abstract [en]

The paper gives the following improvement of the Trudinger-Moser inequality: [GRAPHICS] related to the Hardy-Sobolev-Mazya inequality in higher dimensions. We show (0.1) with psi(u) = integral(Omega) V(x)u(2) dx for a class of V > 0 that includes [GRAPHICS] which refines two previously known cases of (0.1) proved by Adimurthi and Druet [2] and by Wang and Ye [23]. In addition, we verify (0.1) for psi(u) = lambda parallel to u parallel to(2)(P), as well as give an analogous improvement for the Onofri-Beckner inequality for the unit disk (Beckner [6]).

Place, publisher, year, edition, pages
2014. Vol. 266, no 1, 55-66 p.
Keyword [en]
Trudinger-Moser inequality, Borderline Sobolev imbeddings, Singular elliptic operators, Remainder terms, Spectral gap, Virtual bound state, Hardy-Sobolev-Mazya inequality
National Category
Natural Sciences
URN: urn:nbn:se:uu:diva-212823DOI: 10.1016/j.jfa.2013.09.009ISI: 000326952900003OAI: oai:DiVA.org:uu-212823DiVA: diva2:680506
Available from: 2013-12-18 Created: 2013-12-16 Last updated: 2013-12-18Bibliographically approved

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Tintarev, Kyril
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