Best constants for Gagliardo-Nirenberg inequalities on the real line
type: Item
instance of: scholarly article
title: Best constants for Gagliardo-Nirenberg inequalities on the real line
zbMATH Open document ID: 1119.26021
author: Joakim Petersson
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2007-05-15T00:00:00Z
review text: The author deals with certain Gagliardo-Nirenberg inequalities on the real line. Non-zero functions for which equality case is attained are minimizer for a variational problem after appropriate normalization (Sobolev space is functional background). A result on concentration-compactness is used to characterize the minimizing sequence. Finally vanishing and dichotomy cases are excluded.
reviewed by: Cristinel Mortici
Mathematics Subject Classification ID: 26D10
zbMATH DE Number: 5152814
zbMATH Keywords: optimal constants
zbMATH Keywords: concentration
zbMATH Keywords: compactness
MaRDI profile type: Publication
full work available at URL: j.na.2006.06.002
OpenAlex ID: W2065575206
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DOI: 10.1016/J.NA.2006.06.002
description: scientific article; zbMATH DE number 5152814