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Best constants for Gagliardo-Nirenberg inequalities on the real line

Petersson, Joakim LU (2007) In Nonlinear Analysis: Theory, Methods & Applications 67(2). p.587-600
Abstract
We use a variational approach to find the best constants for certain Gagliardo-Nirenberg inequalities on the real line. To show the existence of a minimizer, we use the method of concentration-compactness.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
concentration-compactness, Gagliardo-Nirenberg inequalifies, optimal constants
in
Nonlinear Analysis: Theory, Methods & Applications
volume
67
issue
2
pages
587 - 600
publisher
Elsevier
external identifiers
  • wos:000246457400018
  • scopus:34047255075
ISSN
0362-546X
DOI
10.1016/j.na.2006.06.002
language
English
LU publication?
yes
id
9782e6ad-6c2b-4b87-b06d-0f064593252b (old id 663317)
date added to LUP
2007-12-14 08:30:59
date last changed
2017-01-01 07:24:48
@article{9782e6ad-6c2b-4b87-b06d-0f064593252b,
  abstract     = {We use a variational approach to find the best constants for certain Gagliardo-Nirenberg inequalities on the real line. To show the existence of a minimizer, we use the method of concentration-compactness.},
  author       = {Petersson, Joakim},
  issn         = {0362-546X},
  keyword      = {concentration-compactness,Gagliardo-Nirenberg inequalifies,optimal constants},
  language     = {eng},
  number       = {2},
  pages        = {587--600},
  publisher    = {Elsevier},
  series       = {Nonlinear Analysis: Theory, Methods & Applications},
  title        = {Best constants for Gagliardo-Nirenberg inequalities on the real line},
  url          = {http://dx.doi.org/10.1016/j.na.2006.06.002},
  volume       = {67},
  year         = {2007},
}