On critical cases of Sobolev inequalities


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/83298

Title:	On critical cases of Sobolev inequalities
Authors:	Ozawa, Tohru Browse this author
Issue Date:	Jun-1992
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	154
Start Page:	1
End Page:	11
Abstract:	We present a new form of Trudinger type inequality, which shows an explicit dependence of functions in the Sobolev space of critical order. Moreover, we give a proof of the Brezis-Gallouet-Wainger inequality which is independent of the Fourier representation, thereby arriving at a solution to Brezis' problem.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/68900
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

OAI-PMH ( junii2 , jpcoar_1.0 )

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