University of Surrey

Test tubes in the lab Research in the ATI Dance Research

Asymptotic expansions and extremals for the critical Sobolev and Gagliardo-Nirenberg inequalities on a torus

Bartuccelli, MV, Deane, JHB and Zelik, S (2010) Asymptotic expansions and extremals for the critical Sobolev and Gagliardo-Nirenberg inequalities on a torus arXiv.

[img] Text
BDZ-PRSE.pdf - ["content_typename_UNSPECIFIED" not defined]
Restricted to Repository staff only
Available under License : See the attached licence file.

Download (401kB)
[img] PDF (licence)
SRI_deposit_agreement.pdf
Restricted to Repository staff only
Available under License : See the attached licence file.

Download (33kB)

Abstract

We give a comprehensive study of interpolation inequalities for periodic functions with zero mean, including the existence of and the asymptotic expansions for the extremals, best constants, various remainder terms, etc. Most attention is paid to the critical (logarithmic) Sobolev inequality in the two-dimensional case, although a number of results concerning the best constants in the algebraic case and different space dimensions are also obtained.

Item Type: Article
Authors :
AuthorsEmailORCID
Bartuccelli, MVUNSPECIFIEDUNSPECIFIED
Deane, JHBUNSPECIFIEDUNSPECIFIED
Zelik, SUNSPECIFIEDUNSPECIFIED
Date : 9 December 2010
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 28 Mar 2017 10:50
Last Modified : 28 Mar 2017 10:50
URI: http://epubs.surrey.ac.uk/id/eprint/806726

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year


Information about this web site

© The University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom.
+44 (0)1483 300800