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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.
Please use this url to cite or link to this publication:
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
2016-04-01 17:07:14
date last changed
2025-10-14 09:15:00
@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}},
  keywords     = {{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}},
  doi          = {{10.1016/j.na.2006.06.002}},
  volume       = {{67}},
  year         = {{2007}},
}